3905253216 has 96 divisors (see below), whose sum is σ = 11783167200. Its totient is φ = 1256855040.

The previous prime is 3905253181. The next prime is 3905253227. The reversal of 3905253216 is 6123525093.

3905253216 is a `hidden beast` number, since 3 + 90 + 525 + 32 + 16 = 666.

3905253216 is digitally balanced in base 2 and base 4, because in such bases 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52875 + ... + 102986.

It is an arithmetic number, because the mean of its divisors is an integer number (122741325).

Almost surely, 2^3905253216 is an apocalyptic number.

3905253216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3905253216 is an abundant number, since it is smaller than the sum of its proper divisors (7877913984).

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

3905253216 is a wasteful number, since it uses less digits than its factorization.

3905253216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155909 (or 155895 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 3905253216 is about 62492.0252192230. The cubic root of 3905253216 is about 1574.7673415972.

The spelling of 3905253216 in words is "three billion, nine hundred five million, two hundred fifty-three thousand, two hundred sixteen".