3791664383232 has 1152 divisors, whose sum is σ = 12482201088000. Its totient is φ = 1008245145600.

The previous prime is 3791664383219. The next prime is 3791664383249. The reversal of 3791664383232 is 2323834661973.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25447411894 + ... + 25447412042.

It is an arithmetic number, because the mean of its divisors is an integer number (10835244000).

Almost surely, 2^{3791664383232} is an apocalyptic number.

3791664383232 is a gapful number since it is divisible by the number (32) 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 3791664383232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6241100544000).

3791664383232 is an abundant number, since it is smaller than the sum of its proper divisors (8690536704768).

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

3791664383232 is a wasteful number, since it uses less digits than its factorization.

3791664383232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 381 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 57.

The spelling of 3791664383232 in words is "three trillion, seven hundred ninety-one billion, six hundred sixty-four million, three hundred eighty-three thousand, two hundred thirty-two".