34812376984 has 192 divisors, whose sum is σ = 86919920640. Its totient is φ = 12691937280.

The previous prime is 34812376969. The next prime is 34812377027. The reversal of 34812376984 is 48967321843.

It is a super-2 number, since 2×34812376984² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15314472 + ... + 15316744.

It is an arithmetic number, because the mean of its divisors is an integer number (452707920).

Almost surely, 2^34812376984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34812376984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43459960320).

34812376984 is an abundant number, since it is smaller than the sum of its proper divisors (52107543656).

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

34812376984 is a wasteful number, since it uses less digits than its factorization.

34812376984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2390 (or 2363 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 55.

The spelling of 34812376984 in words is "thirty-four billion, eight hundred twelve million, three hundred seventy-six thousand, nine hundred eighty-four".