34731426564 has 120 divisors (see below), whose sum is σ = 96675495840. Its totient is φ = 10834953984.

The previous prime is 34731426539. The next prime is 34731426607. The reversal of 34731426564 is 46562413743.

34731426564 is a `hidden beast` number, since 3 + 4 + 73 + 14 + 2 + 6 + 564 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 968319 + ... + 1003545.

It is an arithmetic number, because the mean of its divisors is an integer number (805629132).

Almost surely, 2^34731426564 is an apocalyptic number.

34731426564 is a gapful number since it is divisible by the number (34) 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 34731426564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48337747920).

34731426564 is an abundant number, since it is smaller than the sum of its proper divisors (61944069276).

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

34731426564 is a wasteful number, since it uses less digits than its factorization.

34731426564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35439 (or 35428 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 34731426564 in words is "thirty-four billion, seven hundred thirty-one million, four hundred twenty-six thousand, five hundred sixty-four".