34311134400 has 84 divisors (see below), whose sum is σ = 112569129192. Its totient is φ = 9149634560.

The previous prime is 34311134387. The next prime is 34311134411. The reversal of 34311134400 is 443111343.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3569277 + ... + 3578876.

Almost surely, 2^34311134400 is an apocalyptic number.

34311134400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34311134400 is an abundant number, since it is smaller than the sum of its proper divisors (78257994792).

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

34311134400 is a wasteful number, since it uses less digits than its factorization.

34311134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7148178 (or 7148163 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34311134400 its reverse (443111343), we get a palindrome (34754245743).

The spelling of 34311134400 in words is "thirty-four billion, three hundred eleven million, one hundred thirty-four thousand, four hundred".