379746000 has 360 divisors, whose sum is σ = 1428235224. Its totient is φ = 94003200.

The previous prime is 379745987. The next prime is 379746011. The reversal of 379746000 is 647973.

It can be written as a sum of positive squares in 12 ways, for example, as 146023056 + 233722944 = 12084^2 + 15288^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5201964 + ... + 5202036.

Almost surely, 2^379746000 is an apocalyptic number.

379746000 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 379746000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714117612).

379746000 is an abundant number, since it is smaller than the sum of its proper divisors (1048489224).

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

379746000 is a wasteful number, since it uses less digits than its factorization.

379746000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 379746000 is about 19487.0726380337. The cubic root of 379746000 is about 724.1542257652.

The spelling of 379746000 in words is "three hundred seventy-nine million, seven hundred forty-six thousand".