3655766016 has 312 divisors, whose sum is σ = 12484918784. Its totient is φ = 1008599040.

The previous prime is 3655765979. The next prime is 3655766033. The reversal of 3655766016 is 6106675563.

3655766016 is a `hidden beast` number, since 3 + 6 + 5 + 576 + 60 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7999260 + ... + 7999716.

Almost surely, 2^3655766016 is an apocalyptic number.

3655766016 is a gapful number since it is divisible by the number (36) 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 3655766016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6242459392).

3655766016 is an abundant number, since it is smaller than the sum of its proper divisors (8829152768).

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

3655766016 is a wasteful number, since it uses less digits than its factorization.

3655766016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 3655766016 is about 60462.9309246583. The cubic root of 3655766016 is about 1540.4920584246.

The spelling of 3655766016 in words is "three billion, six hundred fifty-five million, seven hundred sixty-six thousand, sixteen".