34457572480 has 96 divisors (see below), whose sum is σ = 84168540540. Its totient is φ = 13489219584.

The previous prime is 34457572451. The next prime is 34457572489. The reversal of 34457572480 is 8427575443.

It can be written as a sum of positive squares in 2 ways, for example, as 33530004544 + 927567936 = 183112^2 + 30456^2 .

It is not an unprimeable number, because it can be changed into a prime (34457572489) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1401574 + ... + 1425946.

Almost surely, 2^34457572480 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 34457572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42084270270).

34457572480 is an abundant number, since it is smaller than the sum of its proper divisors (49710968060).

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

34457572480 is an equidigital number, since it uses as much as digits as its factorization.

34457572480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24486 (or 24427 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 49.

The spelling of 34457572480 in words is "thirty-four billion, four hundred fifty-seven million, five hundred seventy-two thousand, four hundred eighty".