379615402224 has 600 divisors, whose sum is σ = 1197453635840. Its totient is φ = 116009397504.

The previous prime is 379615402217. The next prime is 379615402241. The reversal of 379615402224 is 422204516973.

379615402224 is a `hidden beast` number, since 3 + 7 + 9 + 6 + 15 + 402 + 224 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 379615402224.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2328928767 + ... + 2328928929.

Almost surely, 2^379615402224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379615402224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598726817920).

379615402224 is an abundant number, since it is smaller than the sum of its proper divisors (817838233616).

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

379615402224 is a wasteful number, since it uses less digits than its factorization.

379615402224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 379615402224 in words is "three hundred seventy-nine billion, six hundred fifteen million, four hundred two thousand, two hundred twenty-four".