34932817920 has 1024 divisors, whose sum is σ = 152200581120. Its totient is φ = 6606028800.

The previous prime is 34932817903. The next prime is 34932817937. The reversal of 34932817920 is 2971823943.

It is an interprime number because it is at equal distance from previous prime (34932817903) and next prime (34932817937).

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 34932817920.

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, 492011485 + ... + 492011555.

It is an arithmetic number, because the mean of its divisors is an integer number (148633380).

Almost surely, 2^34932817920 is an apocalyptic number.

34932817920 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 34932817920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76100290560).

34932817920 is an abundant number, since it is smaller than the sum of its proper divisors (117267763200).

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

34932817920 is a wasteful number, since it uses less digits than its factorization.

34932817920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 34932817920 in words is "thirty-four billion, nine hundred thirty-two million, eight hundred seventeen thousand, nine hundred twenty".