3933656496 has 360 divisors, whose sum is σ = 14223643200. Its totient is φ = 1003242240.

The previous prime is 3933656473. The next prime is 3933656543. The reversal of 3933656496 is 6946563393.

It is a happy number.

3933656496 is a `hidden beast` number, since 3 + 93 + 3 + 65 + 6 + 496 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4578915 + ... + 4579773.

It is an arithmetic number, because the mean of its divisors is an integer number (39510120).

Almost surely, 2^3933656496 is an apocalyptic number.

3933656496 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 3933656496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7111821600).

3933656496 is an abundant number, since it is smaller than the sum of its proper divisors (10289986704).

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

3933656496 is a wasteful number, since it uses less digits than its factorization.

3933656496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 941 counting only the distinct ones).

The product of its digits is 9447840, while the sum is 54.

The square root of 3933656496 is about 62718.8687397979. The cubic root of 3933656496 is about 1578.5759341907.

The spelling of 3933656496 in words is "three billion, nine hundred thirty-three million, six hundred fifty-six thousand, four hundred ninety-six".