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3500068320 = 25345741941
BaseRepresentation
bin1101000010011110…
…1100110111100000
3100000220222220010000
43100213230313200
524132004141240
61335150340000
7152510042550
oct32047546740
910026886100
103500068320
111536774151
128181ba600
1343a191758
14252bb9160
15157422430
hexd09ecde0

3500068320 has 480 divisors, whose sum is σ = 14476625856. Its totient is φ = 779673600.

The previous prime is 3500068303. The next prime is 3500068339. The reversal of 3500068320 is 238600053.

3500068320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3719050 + ... + 3719990.

Almost surely, 23500068320 is an apocalyptic number.

3500068320 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 3500068320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238312928).

3500068320 is an abundant number, since it is smaller than the sum of its proper divisors (10976557536).

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

3500068320 is a wasteful number, since it uses less digits than its factorization.

3500068320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3500068320 is about 59161.3752375653. The cubic root of 3500068320 is about 1518.3043649097.

Adding to 3500068320 its reverse (238600053), we get a palindrome (3738668373).

The spelling of 3500068320 in words is "three billion, five hundred million, sixty-eight thousand, three hundred twenty".