376068000 has 576 divisors, whose sum is σ = 1589462784. Its totient is φ = 76032000.

The previous prime is 376067983. The next prime is 376068001. The reversal of 376068000 is 860673.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (376068001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10163982 + ... + 10164018.

It is an arithmetic number, because the mean of its divisors is an integer number (2759484).

Almost surely, 2^376068000 is an apocalyptic number.

376068000 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 376068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794731392).

376068000 is an abundant number, since it is smaller than the sum of its proper divisors (1213394784).

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

376068000 is a wasteful number, since it uses less digits than its factorization.

376068000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 376068000 is about 19392.4727665143. The cubic root of 376068000 is about 721.8087240741.

The spelling of 376068000 in words is "three hundred seventy-six million, sixty-eight thousand".