34014393504 has 768 divisors, whose sum is σ = 127290240000. Its totient is φ = 8888527872.

The previous prime is 34014393499. The next prime is 34014393527. The reversal of 34014393504 is 40539341043.

34014393504 is a `hidden beast` number, since 3 + 4 + 0 + 143 + 9 + 3 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 127 ways as a sum of consecutive naturals, for example, 312058602 + ... + 312058710.

It is an arithmetic number, because the mean of its divisors is an integer number (165742500).

Almost surely, 2^34014393504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34014393504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63645120000).

34014393504 is an abundant number, since it is smaller than the sum of its proper divisors (93275846496).

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

34014393504 is an equidigital number, since it uses as much as digits as its factorization.

34014393504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 34014393504 in words is "thirty-four billion, fourteen million, three hundred ninety-three thousand, five hundred four".