34131087360 has 624 divisors, whose sum is σ = 126225800064. Its totient is φ = 8512339968.

The previous prime is 34131087311. The next prime is 34131087371. The reversal of 34131087360 is 6378013143.

It is a super-2 number, since 2×34131087360² (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 351866832 + ... + 351866928.

It is an arithmetic number, because the mean of its divisors is an integer number (202284936).

Almost surely, 2^34131087360 is an apocalyptic number.

34131087360 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 34131087360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63112900032).

34131087360 is an abundant number, since it is smaller than the sum of its proper divisors (92094712704).

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

34131087360 is a wasteful number, since it uses less digits than its factorization.

34131087360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 34131087360 in words is "thirty-four billion, one hundred thirty-one million, eighty-seven thousand, three hundred sixty".