376074144 has 192 divisors, whose sum is σ = 1193472000. Its totient is φ = 114773760.

The previous prime is 376074137. The next prime is 376074151. The reversal of 376074144 is 441470673.

It is a happy number.

376074144 is a `hidden beast` number, since 3 + 7 + 607 + 4 + 1 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (376074137) and next prime (376074151).

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 = 376074099 and 376074108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 508527 + ... + 509265.

It is an arithmetic number, because the mean of its divisors is an integer number (6216000).

Almost surely, 2^376074144 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 376074144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596736000).

376074144 is an abundant number, since it is smaller than the sum of its proper divisors (817397856).

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

376074144 is a wasteful number, since it uses less digits than its factorization.

376074144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 376074144 is about 19392.6311778469. The cubic root of 376074144 is about 721.8126548957.

The spelling of 376074144 in words is "three hundred seventy-six million, seventy-four thousand, one hundred forty-four".