3459072456 has 96 divisors (see below), whose sum is σ = 10716451200. Its totient is φ = 987402240.

The previous prime is 3459072451. The next prime is 3459072481. The reversal of 3459072456 is 6542709543.

3459072456 is a `hidden beast` number, since 3 + 4 + 590 + 7 + 2 + 4 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (3459072451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 707701 + ... + 712571.

It is an arithmetic number, because the mean of its divisors is an integer number (111629700).

Almost surely, 2^3459072456 is an apocalyptic number.

3459072456 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 3459072456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5358225600).

3459072456 is an abundant number, since it is smaller than the sum of its proper divisors (7257378744).

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

3459072456 is a wasteful number, since it uses less digits than its factorization.

3459072456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6299 (or 6292 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 3459072456 is about 58813.8797904032. The cubic root of 3459072456 is about 1512.3531655922.

The spelling of 3459072456 in words is "three billion, four hundred fifty-nine million, seventy-two thousand, four hundred fifty-six".