3456072080 has 40 divisors (see below), whose sum is σ = 8038809144. Its totient is φ = 1381836800.

The previous prime is 3456072079. The next prime is 3456072149. The reversal of 3456072080 is 802706543.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 273307024 + 3182765056 = 16532^2 + 56416^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 3456072080.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 211400 + ... + 227160.

Almost surely, 2^3456072080 is an apocalyptic number.

It is an amenable number.

3456072080 is an abundant number, since it is smaller than the sum of its proper divisors (4582737064).

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

3456072080 is a wasteful number, since it uses less digits than its factorization.

3456072080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18515 (or 18509 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 3456072080 is about 58788.3668764493. The cubic root of 3456072080 is about 1511.9157708088.

The spelling of 3456072080 in words is "three billion, four hundred fifty-six million, seventy-two thousand, eighty".