34456275072 has 120 divisors (see below), whose sum is σ = 102597595815. Its totient is φ = 11479124736.

The previous prime is 34456275043. The next prime is 34456275101. The reversal of 34456275072 is 27057265443.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

34456275072 is a `hidden beast` number, since 34 + 4 + 562 + 7 + 50 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (34456275043) and next prime (34456275101).

It can be written as a sum of positive squares in only one way, i.e., 17228137536 + 17228137536 = 131256^2 + 131256^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=131256.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 18899953 + ... + 18901775.

Almost surely, 2^34456275072 is an apocalyptic number.

34456275072 is a gapful number since it is divisible by the number (32) 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 34456275072

34456275072 is an abundant number, since it is smaller than the sum of its proper divisors (68141320743).

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

34456275072 is an frugal number, since it uses more digits than its factorization.

34456275072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3672 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 34456275072 in words is "thirty-four billion, four hundred fifty-six million, two hundred seventy-five thousand, seventy-two".