34464153672 has 128 divisors (see below), whose sum is σ = 107580614400. Its totient is φ = 10143277056.

The previous prime is 34464153643. The next prime is 34464153673. The reversal of 34464153672 is 27635146443.

34464153672 is a `hidden beast` number, since 3 + 4 + 4 + 6 + 41 + 536 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (34464153673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202233 + ... + 331400.

It is an arithmetic number, because the mean of its divisors is an integer number (840473550).

Almost surely, 2^34464153672 is an apocalyptic number.

It is an amenable number.

34464153672 is an abundant number, since it is smaller than the sum of its proper divisors (73116460728).

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

34464153672 is a wasteful number, since it uses less digits than its factorization.

34464153672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533684 (or 533674 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 34464153672 in words is "thirty-four billion, four hundred sixty-four million, one hundred fifty-three thousand, six hundred seventy-two".