34232760000 has 560 divisors, whose sum is σ = 130212693600. Its totient is φ = 8805888000.

The previous prime is 34232759993. The next prime is 34232760019. The reversal of 34232760000 is 6723243.

34232760000 is a `hidden beast` number, since 34 + 2 + 3 + 27 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31319454 + ... + 31320546.

Almost surely, 2^34232760000 is an apocalyptic number.

34232760000 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 34232760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65106346800).

34232760000 is an abundant number, since it is smaller than the sum of its proper divisors (95979933600).

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

34232760000 is a wasteful number, since it uses less digits than its factorization.

34232760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The spelling of 34232760000 in words is "thirty-four billion, two hundred thirty-two million, seven hundred sixty thousand".