34135983659804 has 96 divisors (see below), whose sum is σ = 68405787959040. Its totient is φ = 14765618469888.

The previous prime is 34135983659663. The next prime is 34135983659837. The reversal of 34135983659804 is 40895638953143.

It is a hoax number, since the sum of its digits (68) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (68).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 364954187 + ... + 365047709.

It is an arithmetic number, because the mean of its divisors is an integer number (712560291240).

Almost surely, 2^{34135983659804} is an apocalyptic number.

34135983659804 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34135983659804 is an abundant number, since it is smaller than the sum of its proper divisors (34269804299236).

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

34135983659804 is a wasteful number, since it uses less digits than its factorization.

34135983659804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95299 (or 95297 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 68.

The spelling of 34135983659804 in words is "thirty-four trillion, one hundred thirty-five billion, nine hundred eighty-three million, six hundred fifty-nine thousand, eight hundred four".