376535040 has 384 divisors, whose sum is σ = 1471841280. Its totient is φ = 80216064.

The previous prime is 376535039. The next prime is 376535113. The reversal of 376535040 is 40535673.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 376534992 and 376535010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3655629 + ... + 3655731.

It is an arithmetic number, because the mean of its divisors is an integer number (3832920).

Almost surely, 2^376535040 is an apocalyptic number.

376535040 is a gapful number since it is divisible by the number (30) 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 376535040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735920640).

376535040 is an abundant number, since it is smaller than the sum of its proper divisors (1095306240).

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

376535040 is a wasteful number, since it uses less digits than its factorization.

376535040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 33.

The square root of 376535040 is about 19404.5108157871. The cubic root of 376535040 is about 722.1074059513.

The spelling of 376535040 in words is "three hundred seventy-six million, five hundred thirty-five thousand, forty".