34012641400 has 48 divisors (see below), whose sum is σ = 79163337240. Its totient is φ = 13590614400.

The previous prime is 34012641391. The next prime is 34012641413. The reversal of 34012641400 is 414621043.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99610 + ... + 279190.

Almost surely, 2^34012641400 is an apocalyptic number.

It is an amenable number.

34012641400 is an abundant number, since it is smaller than the sum of its proper divisors (45150695840).

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

34012641400 is a wasteful number, since it uses less digits than its factorization.

34012641400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180544 (or 180535 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The spelling of 34012641400 in words is "thirty-four billion, twelve million, six hundred forty-one thousand, four hundred".