376681536 has 448 divisors, whose sum is σ = 1463040000. Its totient is φ = 92067840.

The previous prime is 376681523. The next prime is 376681541. The reversal of 376681536 is 635186673.

376681536 is a `hidden beast` number, since 37 + 6 + 6 + 81 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a junction number, because it is equal to n+sod(n) for n = 376681491 and 376681500.

It is an unprimeable number.

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, 2527990 + ... + 2528138.

Almost surely, 2^376681536 is an apocalyptic number.

376681536 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 376681536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731520000).

376681536 is an abundant number, since it is smaller than the sum of its proper divisors (1086358464).

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

376681536 is a wasteful number, since it uses less digits than its factorization.

376681536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 191 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 376681536 is about 19408.2852411026. The cubic root of 376681536 is about 722.2010423278.

It can be divided in two parts, 37668 and 1536, that added together give a square (39204 = 198²).

The spelling of 376681536 in words is "three hundred seventy-six million, six hundred eighty-one thousand, five hundred thirty-six".