34128529956 has 60 divisors (see below), whose sum is σ = 89266512412. Its totient is φ = 11370082752.

The previous prime is 34128529943. The next prime is 34128529987. The reversal of 34128529956 is 65992582143.

34128529956 is a `hidden beast` number, since 3 + 4 + 1 + 28 + 529 + 95 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15708611556 + 18419918400 = 125334^2 + 135720^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 599046 + ... + 653538.

Almost surely, 2^34128529956 is an apocalyptic number.

34128529956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

34128529956 is an abundant number, since it is smaller than the sum of its proper divisors (55137982456).

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

34128529956 is a wasteful number, since it uses less digits than its factorization.

34128529956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56442 (or 56431 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 34128529956 in words is "thirty-four billion, one hundred twenty-eight million, five hundred twenty-nine thousand, nine hundred fifty-six".