376381632 has 168 divisors, whose sum is σ = 1160209008. Its totient is φ = 107233280.

The previous prime is 376381627. The next prime is 376381639. The reversal of 376381632 is 236183673.

376381632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (376381639) 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, 394468 + ... + 395420.

It is an arithmetic number, because the mean of its divisors is an integer number (6906006).

Almost surely, 2^376381632 is an apocalyptic number.

376381632 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 376381632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580104504).

376381632 is an abundant number, since it is smaller than the sum of its proper divisors (783827376).

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

376381632 is a wasteful number, since it uses less digits than its factorization.

376381632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 986 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 376381632 is about 19400.5575177622. The cubic root of 376381632 is about 722.0093255702.

The spelling of 376381632 in words is "three hundred seventy-six million, three hundred eighty-one thousand, six hundred thirty-two".