34256387880 has 576 divisors, whose sum is σ = 139298253120. Its totient is φ = 7212441600.

The previous prime is 34256387861. The next prime is 34256387911. The reversal of 34256387880 is 8878365243.

34256387880 is a `hidden beast` number, since 3 + 4 + 2 + 563 + 8 + 78 + 8 + 0 = 666.

It is a super-2 number, since 2×34256387880² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11375575 + ... + 11378585.

It is an arithmetic number, because the mean of its divisors is an integer number (241837245).

Almost surely, 2^34256387880 is an apocalyptic number.

34256387880 is a gapful number since it is divisible by the number (30) 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 34256387880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69649126560).

34256387880 is an abundant number, since it is smaller than the sum of its proper divisors (105041865240).

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

34256387880 is a wasteful number, since it uses less digits than its factorization.

34256387880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082 (or 3062 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 34256387880 in words is "thirty-four billion, two hundred fifty-six million, three hundred eighty-seven thousand, eight hundred eighty".