3415901472 has 72 divisors (see below), whose sum is σ = 10225247760. Its totient is φ = 1078704000.

The previous prime is 3415901449. The next prime is 3415901479. The reversal of 3415901472 is 2741095143.

3415901472 is a `hidden beast` number, since 34 + 159 + 0 + 1 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (3415901479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 306654 + ... + 317597.

It is an arithmetic number, because the mean of its divisors is an integer number (142017330).

Almost surely, 2^3415901472 is an apocalyptic number.

3415901472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3415901472 is an abundant number, since it is smaller than the sum of its proper divisors (6809346288).

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

3415901472 is a wasteful number, since it uses less digits than its factorization.

3415901472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624286 (or 624275 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3415901472 is about 58445.7138890441. The cubic root of 3415901472 is about 1506.0351626420.

The spelling of 3415901472 in words is "three billion, four hundred fifteen million, nine hundred one thousand, four hundred seventy-two".