34291516992 has 56 divisors (see below), whose sum is σ = 90977045376. Its totient is φ = 11399336448.

The previous prime is 34291516991. The next prime is 34291516993. The reversal of 34291516992 is 29961519243.

It is an interprime number because it is at equal distance from previous prime (34291516991) and next prime (34291516993).

It is a super-2 number, since 2×34291516992² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34291516991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 172863 + ... + 313790.

It is an arithmetic number, because the mean of its divisors is an integer number (1624590096).

Almost surely, 2^34291516992 is an apocalyptic number.

34291516992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34291516992 is an abundant number, since it is smaller than the sum of its proper divisors (56685528384).

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

34291516992 is a wasteful number, since it uses less digits than its factorization.

34291516992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487035 (or 487025 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 51.

The spelling of 34291516992 in words is "thirty-four billion, two hundred ninety-one million, five hundred sixteen thousand, nine hundred ninety-two".