3145274496 has 512 divisors, whose sum is σ = 11666188800. Its totient is φ = 812187648.

The previous prime is 3145274471. The next prime is 3145274501. The reversal of 3145274496 is 6944725413.

3145274496 is a `hidden beast` number, since 31 + 4 + 527 + 4 + 4 + 96 = 666.

It is a congruent number.

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, 22958140 + ... + 22958276.

It is an arithmetic number, because the mean of its divisors is an integer number (22785525).

Almost surely, 2^3145274496 is an apocalyptic number.

3145274496 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 3145274496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5833094400).

3145274496 is an abundant number, since it is smaller than the sum of its proper divisors (8520914304).

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

3145274496 is a wasteful number, since it uses less digits than its factorization.

3145274496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 235 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 3145274496 is about 56082.7468656805. The cubic root of 3145274496 is about 1465.1638152343.

The spelling of 3145274496 in words is "three billion, one hundred forty-five million, two hundred seventy-four thousand, four hundred ninety-six".