34131888000 has 512 divisors, whose sum is σ = 143691724800. Its totient is φ = 7800883200.

The previous prime is 34131887963. The next prime is 34131888019. The reversal of 34131888000 is 88813143.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 3018357 + ... + 3029643.

It is an arithmetic number, because the mean of its divisors is an integer number (280647900).

Almost surely, 2^34131888000 is an apocalyptic number.

34131888000 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 34131888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71845862400).

34131888000 is an abundant number, since it is smaller than the sum of its proper divisors (109559836800).

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

34131888000 is a wasteful number, since it uses less digits than its factorization.

34131888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11332 (or 11304 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 34131888000 in words is "thirty-four billion, one hundred thirty-one million, eight hundred eighty-eight thousand".