379653120 has 528 divisors, whose sum is σ = 1655417088. Its totient is φ = 78151680.

The previous prime is 379653119. The next prime is 379653133. The reversal of 379653120 is 21356973.

379653120 is a `hidden beast` number, since 37 + 96 + 531 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3548107 + ... + 3548213.

Almost surely, 2^379653120 is an apocalyptic number.

379653120 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 379653120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827708544).

379653120 is an abundant number, since it is smaller than the sum of its proper divisors (1275763968).

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

379653120 is a wasteful number, since it uses less digits than its factorization.

379653120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 379653120 is about 19484.6893739674. The cubic root of 379653120 is about 724.0951819756.

The spelling of 379653120 in words is "three hundred seventy-nine million, six hundred fifty-three thousand, one hundred twenty".