34103232900 has 432 divisors, whose sum is σ = 123127952640. Its totient is φ = 8087904000.

The previous prime is 34103232893. The next prime is 34103232913. The reversal of 34103232900 is 923230143.

It is a happy number.

34103232900 is a `hidden beast` number, since 341 + 0 + 3 + 232 + 90 + 0 = 666.

It is a super-4 number, since 4×34103232900⁴ (a number of 43 digits) contains 4444 as substring.

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

It is a congruent number.

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, 15353790 + ... + 15356010.

Almost surely, 2^34103232900 is an apocalyptic number.

34103232900 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 34103232900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61563976320).

34103232900 is an abundant number, since it is smaller than the sum of its proper divisors (89024719740).

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

34103232900 is a wasteful number, since it uses less digits than its factorization.

34103232900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The spelling of 34103232900 in words is "thirty-four billion, one hundred three million, two hundred thirty-two thousand, nine hundred".