34364808576 has 960 divisors, whose sum is σ = 132200592480. Its totient is φ = 8788082688.

The previous prime is 34364808493. The next prime is 34364808581. The reversal of 34364808576 is 67580846343.

34364808576 is a `hidden beast` number, since 3 + 4 + 3 + 64 + 8 + 0 + 8 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 198640426 + ... + 198640598.

Almost surely, 2^34364808576 is an apocalyptic number.

34364808576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34364808576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66100296240).

34364808576 is an abundant number, since it is smaller than the sum of its proper divisors (97835783904).

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

34364808576 is a wasteful number, since it uses less digits than its factorization.

34364808576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 34364808576 in words is "thirty-four billion, three hundred sixty-four million, eight hundred eight thousand, five hundred seventy-six".