34130512404 has 48 divisors (see below), whose sum is σ = 88935739200. Its totient is φ = 11319079968.

The previous prime is 34130512393. The next prime is 34130512439. The reversal of 34130512404 is 40421503143.

It is a happy number.

34130512404 is a `hidden beast` number, since 3 + 413 + 0 + 5 + 1 + 240 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 780814 + ... + 823365.

It is an arithmetic number, because the mean of its divisors is an integer number (1852827900).

Almost surely, 2^34130512404 is an apocalyptic number.

It is an amenable number.

34130512404 is an abundant number, since it is smaller than the sum of its proper divisors (54805226796).

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

34130512404 is a wasteful number, since it uses less digits than its factorization.

34130512404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604389 (or 1604381 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 34130512404 in words is "thirty-four billion, one hundred thirty million, five hundred twelve thousand, four hundred four".