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3428001561600 = 2103352711292221
BaseRepresentation
bin110001111000100100110…
…100001011110000000000
3110010201021022201100201000
4301320210310023300000
5422131021344432400
611142445134212000
7502444034334660
oct61704464136000
913121238640630
103428001561600
111101897571820
12474452954000
131bb34a4b49b5
14bbcb7d341a0
155e2845b1600
hex31e24d0bc00

3428001561600 has 2112 divisors, whose sum is σ = 16243367500800. Its totient is φ = 687439872000.

The previous prime is 3428001561587. The next prime is 3428001561617. The reversal of 3428001561600 is 61651008243.

It is a happy number.

3428001561600 is a `hidden beast` number, since 3 + 4 + 28 + 0 + 0 + 15 + 616 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1543448490 + ... + 1543450710.

It is an arithmetic number, because the mean of its divisors is an integer number (7690988400).

Almost surely, 23428001561600 is an apocalyptic number.

3428001561600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3428001561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8121683750400).

3428001561600 is an abundant number, since it is smaller than the sum of its proper divisors (12815365939200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3428001561600 is a wasteful number, since it uses less digits than its factorization.

3428001561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2278 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 3428001561600 its reverse (61651008243), we get a palindrome (3489652569843).

It can be divided in two parts, 342800 and 1561600, that added together give a square (1904400 = 13802).

The spelling of 3428001561600 in words is "three trillion, four hundred twenty-eight billion, one million, five hundred sixty-one thousand, six hundred".