34518387904 has 504 divisors, whose sum is σ = 97670209536. Its totient is φ = 11950848000.

The previous prime is 34518387899. The next prime is 34518387907. The reversal of 34518387904 is 40978381543.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (34518387907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 180724449 + ... + 180724639.

Almost surely, 2^34518387904 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 34518387904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48835104768).

34518387904 is an abundant number, since it is smaller than the sum of its proper divisors (63151821632).

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

34518387904 is a wasteful number, since it uses less digits than its factorization.

34518387904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 52.

The spelling of 34518387904 in words is "thirty-four billion, five hundred eighteen million, three hundred eighty-seven thousand, nine hundred four".