34111601400 has 48 divisors (see below), whose sum is σ = 105745966200. Its totient is φ = 9096426880.

The previous prime is 34111601399. The next prime is 34111601429. The reversal of 34111601400 is 410611143.

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, 28425735 + ... + 28426934.

Almost surely, 2^34111601400 is an apocalyptic number.

34111601400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34111601400 is an abundant number, since it is smaller than the sum of its proper divisors (71634364800).

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

34111601400 is a wasteful number, since it uses less digits than its factorization.

34111601400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56852688 (or 56852679 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 34111601400 in words is "thirty-four billion, one hundred eleven million, six hundred one thousand, four hundred".