379761732 has 72 divisors (see below), whose sum is σ = 1099268352. Its totient is φ = 108288000.

The previous prime is 379761731. The next prime is 379761791. The reversal of 379761732 is 237167973.

379761732 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

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

379761732 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (379761731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160357 + ... + 162707.

It is an arithmetic number, because the mean of its divisors is an integer number (15267616).

Almost surely, 2^379761732 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379761732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549634176).

379761732 is an abundant number, since it is smaller than the sum of its proper divisors (719506620).

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

379761732 is a wasteful number, since it uses less digits than its factorization.

379761732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3009 (or 3004 counting only the distinct ones).

The product of its digits is 333396, while the sum is 45.

The square root of 379761732 is about 19487.4762860664. The cubic root of 379761732 is about 724.1642256396.

The spelling of 379761732 in words is "three hundred seventy-nine million, seven hundred sixty-one thousand, seven hundred thirty-two".