34983832320 has 216 divisors, whose sum is σ = 124946220672. Its totient is φ = 9027993600.

The previous prime is 34983832319. The next prime is 34983832399. The reversal of 34983832320 is 2323838943.

34983832320 is a `hidden beast` number, since 34 + 9 + 8 + 383 + 232 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308140 + ... + 406100.

Almost surely, 2^34983832320 is an apocalyptic number.

34983832320 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 34983832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62473110336).

34983832320 is an abundant number, since it is smaller than the sum of its proper divisors (89962388352).

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

34983832320 is a wasteful number, since it uses less digits than its factorization.

34983832320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98019 (or 98002 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 34983832320 in words is "thirty-four billion, nine hundred eighty-three million, eight hundred thirty-two thousand, three hundred twenty".