34992946560 has 512 divisors, whose sum is σ = 131843013120. Its totient is φ = 7782727680.

The previous prime is 34992946553. The next prime is 34992946561. The reversal of 34992946560 is 6564929943.

34992946560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 34992946560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34992946561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63972207 + ... + 63972753.

It is an arithmetic number, because the mean of its divisors is an integer number (257505885).

Almost surely, 2^34992946560 is an apocalyptic number.

34992946560 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 34992946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65921506560).

34992946560 is an abundant number, since it is smaller than the sum of its proper divisors (96850066560).

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

34992946560 is a wasteful number, since it uses less digits than its factorization.

34992946560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 57.

The spelling of 34992946560 in words is "thirty-four billion, nine hundred ninety-two million, nine hundred forty-six thousand, five hundred sixty".