34230972600 has 432 divisors, whose sum is σ = 131062418760. Its totient is φ = 8296992000.

The previous prime is 34230972599. The next prime is 34230972617. The reversal of 34230972600 is 627903243.

It is a happy number.

34230972600 is a `hidden beast` number, since 3 + 42 + 3 + 0 + 9 + 7 + 2 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5877690 + ... + 5883510.

Almost surely, 2^34230972600 is an apocalyptic number.

34230972600 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 34230972600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65531209380).

34230972600 is an abundant number, since it is smaller than the sum of its proper divisors (96831446160).

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

34230972600 is a wasteful number, since it uses less digits than its factorization.

34230972600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5874 (or 5842 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 34230972600 in words is "thirty-four billion, two hundred thirty million, nine hundred seventy-two thousand, six hundred".