32913893376 has 768 divisors, whose sum is σ = 124456550400. Its totient is φ = 8360755200.

The previous prime is 32913893347. The next prime is 32913893377. The reversal of 32913893376 is 67339831923.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32913893377) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 155989911 + ... + 155990121.

It is an arithmetic number, because the mean of its divisors is an integer number (162052800).

Almost surely, 2^32913893376 is an apocalyptic number.

32913893376 is a gapful number since it is divisible by the number (36) 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 32913893376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62228275200).

32913893376 is an abundant number, since it is smaller than the sum of its proper divisors (91542657024).

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

32913893376 is a wasteful number, since it uses less digits than its factorization.

32913893376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 267 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 54.

The spelling of 32913893376 in words is "thirty-two billion, nine hundred thirteen million, eight hundred ninety-three thousand, three hundred seventy-six".