32345521920 has 864 divisors, whose sum is σ = 127280305152. Its totient is φ = 7539130368.

The previous prime is 32345521913. The next prime is 32345521961. The reversal of 32345521920 is 2912554323.

32345521920 is a `hidden beast` number, since 3 + 2 + 3 + 45 + 521 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 193685677 + ... + 193685843.

It is an arithmetic number, because the mean of its divisors is an integer number (147315168).

Almost surely, 2^32345521920 is an apocalyptic number.

32345521920 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 32345521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63640152576).

32345521920 is an abundant number, since it is smaller than the sum of its proper divisors (94934783232).

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

32345521920 is a wasteful number, since it uses less digits than its factorization.

32345521920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 32345521920 in words is "thirty-two billion, three hundred forty-five million, five hundred twenty-one thousand, nine hundred twenty".