34988427264 has 576 divisors, whose sum is σ = 117596344320. Its totient is φ = 9196830720.

The previous prime is 34988427263. The next prime is 34988427283. The reversal of 34988427264 is 46272488943.

Its product of digits (18579456) is a multiple of the sum of its prime factors (256).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34988427263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 214652847 + ... + 214653009.

It is an arithmetic number, because the mean of its divisors is an integer number (204160320).

Almost surely, 2^34988427264 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 34988427264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58798172160).

34988427264 is an abundant number, since it is smaller than the sum of its proper divisors (82607917056).

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

34988427264 is a wasteful number, since it uses less digits than its factorization.

34988427264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 229 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 57.

The spelling of 34988427264 in words is "thirty-four billion, nine hundred eighty-eight million, four hundred twenty-seven thousand, two hundred sixty-four".