379864800 has 216 divisors, whose sum is σ = 1531058256. Its totient is φ = 86814720.

The previous prime is 379864799. The next prime is 379864841. The reversal of 379864800 is 8468973.

It is a happy number.

379864800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46632 + ... + 54168.

Almost surely, 2^379864800 is an apocalyptic number.

379864800 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 379864800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765529128).

379864800 is an abundant number, since it is smaller than the sum of its proper divisors (1151193456).

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

379864800 is a wasteful number, since it uses less digits than its factorization.

379864800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7570 (or 7554 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 379864800 is about 19490.1205742807. The cubic root of 379864800 is about 724.2297328606.

The spelling of 379864800 in words is "three hundred seventy-nine million, eight hundred sixty-four thousand, eight hundred".