376215840 has 960 divisors, whose sum is σ = 1844156160. Its totient is φ = 69672960.

The previous prime is 376215839. The next prime is 376215841. The reversal of 376215840 is 48512673.

376215840 is a `hidden beast` number, since 3 + 76 + 2 + 1 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (376215839) and next prime (376215841).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 376215795 and 376215804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (376215841) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12972946 + ... + 12972974.

It is an arithmetic number, because the mean of its divisors is an integer number (1920996).

Almost surely, 2^376215840 is an apocalyptic number.

376215840 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 376215840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922078080).

376215840 is an abundant number, since it is smaller than the sum of its proper divisors (1467940320).

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

376215840 is a wasteful number, since it uses less digits than its factorization.

376215840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 376215840 is about 19396.2841802238. The cubic root of 376215840 is about 721.9032975920.

The spelling of 376215840 in words is "three hundred seventy-six million, two hundred fifteen thousand, eight hundred forty".