3953604816 has 200 divisors, whose sum is σ = 13766470080. Its totient is φ = 1070102016.

The previous prime is 3953604799. The next prime is 3953604821. The reversal of 3953604816 is 6184063593.

3953604816 is a `hidden beast` number, since 39 + 5 + 3 + 604 + 8 + 1 + 6 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 160900 + ... + 183836.

Almost surely, 2^3953604816 is an apocalyptic number.

3953604816 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 3953604816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6883235040).

3953604816 is an abundant number, since it is smaller than the sum of its proper divisors (9812865264).

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

3953604816 is a wasteful number, since it uses less digits than its factorization.

3953604816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22983 (or 22968 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3953604816 is about 62877.6972860807. The cubic root of 3953604816 is about 1581.2398557344.

The spelling of 3953604816 in words is "three billion, nine hundred fifty-three million, six hundred four thousand, eight hundred sixteen".