34897896000 has 672 divisors, whose sum is σ = 137596717440. Its totient is φ = 8372736000.

The previous prime is 34897895993. The next prime is 34897896029. The reversal of 34897896000 is 69879843.

34897896000 is a `hidden beast` number, since 3 + 489 + 78 + 96 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110087842 + ... + 110088158.

It is an arithmetic number, because the mean of its divisors is an integer number (204757020).

Almost surely, 2^34897896000 is an apocalyptic number.

34897896000 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 34897896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68798358720).

34897896000 is an abundant number, since it is smaller than the sum of its proper divisors (102698821440).

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

34897896000 is a wasteful number, since it uses less digits than its factorization.

34897896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 34897896000 in words is "thirty-four billion, eight hundred ninety-seven million, eight hundred ninety-six thousand".