34399275372 has 648 divisors, whose sum is σ = 118679887872. Its totient is φ = 8675916480.

The previous prime is 34399275359. The next prime is 34399275373. The reversal of 34399275372 is 27357299343.

34399275372 is a `hidden beast` number, since 3 + 439 + 92 + 7 + 53 + 72 = 666.

It is a super-2 number, since 2×34399275372² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (34399275373) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 270860373 + ... + 270860499.

Almost surely, 2^34399275372 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 34399275372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59339943936).

34399275372 is an abundant number, since it is smaller than the sum of its proper divisors (84280612500).

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

34399275372 is a wasteful number, since it uses less digits than its factorization.

34399275372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 197 counting only the distinct ones).

The product of its digits is 8573040, while the sum is 54.

The spelling of 34399275372 in words is "thirty-four billion, three hundred ninety-nine million, two hundred seventy-five thousand, three hundred seventy-two".