379020600 has 384 divisors, whose sum is σ = 1537996800. Its totient is φ = 83980800.

The previous prime is 379020589. The next prime is 379020641. The reversal of 379020600 is 6020973.

379020600 is a `hidden beast` number, since 37 + 9 + 0 + 20 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1398465 + ... + 1398735.

It is an arithmetic number, because the mean of its divisors is an integer number (4005200).

Almost surely, 2^379020600 is an apocalyptic number.

379020600 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 379020600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768998400).

379020600 is an abundant number, since it is smaller than the sum of its proper divisors (1158976200).

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

379020600 is a wasteful number, since it uses less digits than its factorization.

379020600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 379020600 is about 19468.4514022045. The cubic root of 379020600 is about 723.6928328762.

The spelling of 379020600 in words is "three hundred seventy-nine million, twenty thousand, six hundred".