3450979272 has 256 divisors, whose sum is σ = 10257408000. Its totient is φ = 958003200.

The previous prime is 3450979249. The next prime is 3450979313. The reversal of 3450979272 is 2729790543.

3450979272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16355247 + ... + 16355457.

It is an arithmetic number, because the mean of its divisors is an integer number (40068000).

Almost surely, 2^3450979272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3450979272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5128704000).

3450979272 is an abundant number, since it is smaller than the sum of its proper divisors (6806428728).

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

3450979272 is a wasteful number, since it uses less digits than its factorization.

3450979272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The square root of 3450979272 is about 58745.0361477461. The cubic root of 3450979272 is about 1511.1727614233.

The spelling of 3450979272 in words is "three billion, four hundred fifty million, nine hundred seventy-nine thousand, two hundred seventy-two".