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3680298720 = 253357177159
BaseRepresentation
bin1101101101011100…
…1110011011100000
3100111111010112202000
43123113032123200
530014124024340
61405105324000
7160126010610
oct33327163340
910444115660
103680298720
11161948399a
12868636600
13468616467
1426cad2a40
15168173d30
hexdb5ce6e0

3680298720 has 384 divisors, whose sum is σ = 15589324800. Its totient is φ = 791617536.

The previous prime is 3680298707. The next prime is 3680298731. The reversal of 3680298720 is 278920863.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 510501 + ... + 517659.

It is an arithmetic number, because the mean of its divisors is an integer number (40597200).

Almost surely, 23680298720 is an apocalyptic number.

3680298720 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 3680298720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7794662400).

3680298720 is an abundant number, since it is smaller than the sum of its proper divisors (11909026080).

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

3680298720 is a wasteful number, since it uses less digits than its factorization.

3680298720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7207 (or 7193 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3680298720 is about 60665.4656291370. The cubic root of 3680298720 is about 1543.9302992330.

The spelling of 3680298720 in words is "three billion, six hundred eighty million, two hundred ninety-eight thousand, seven hundred twenty".