34013135400 has 48 divisors (see below), whose sum is σ = 105440721600. Its totient is φ = 9070169280.

The previous prime is 34013135383. The next prime is 34013135411. The reversal of 34013135400 is 453131043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 28343680 + ... + 28344879.

It is an arithmetic number, because the mean of its divisors is an integer number (2196681700).

Almost surely, 2^34013135400 is an apocalyptic number.

34013135400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34013135400 is an abundant number, since it is smaller than the sum of its proper divisors (71427586200).

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

34013135400 is a wasteful number, since it uses less digits than its factorization.

34013135400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56688578 (or 56688569 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 34013135400 its reverse (453131043), we get a palindrome (34466266443).

The spelling of 34013135400 in words is "thirty-four billion, thirteen million, one hundred thirty-five thousand, four hundred".