34132012400 has 60 divisors (see below), whose sum is σ = 82038648000. Its totient is φ = 13646730240.

The previous prime is 34132012393. The next prime is 34132012423. The reversal of 34132012400 is 421023143.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 941816 + ... + 977384.

It is an arithmetic number, because the mean of its divisors is an integer number (1367310800).

Almost surely, 2^34132012400 is an apocalyptic number.

It is an amenable number.

34132012400 is an abundant number, since it is smaller than the sum of its proper divisors (47906635600).

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

34132012400 is a wasteful number, since it uses less digits than its factorization.

34132012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37986 (or 37975 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 34132012400 its reverse (421023143), we get a palindrome (34553035543).

The spelling of 34132012400 in words is "thirty-four billion, one hundred thirty-two million, twelve thousand, four hundred".