379635840 has 192 divisors, whose sum is σ = 1388401560. Its totient is φ = 95256576.

The previous prime is 379635833. The next prime is 379635853. The reversal of 379635840 is 48536973.

379635840 is a `hidden beast` number, since 3 + 7 + 9 + 63 + 584 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 309478464 + 70157376 = 17592^2 + 8376^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 95982 + ... + 99858.

Almost surely, 2^379635840 is an apocalyptic number.

379635840 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 379635840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694200780).

379635840 is an abundant number, since it is smaller than the sum of its proper divisors (1008765720).

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

379635840 is a wasteful number, since it uses less digits than its factorization.

379635840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919 (or 3904 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 379635840 is about 19484.2459438388. The cubic root of 379635840 is about 724.0841960220.

The spelling of 379635840 in words is "three hundred seventy-nine million, six hundred thirty-five thousand, eight hundred forty".