379960725312 has 784 divisors, whose sum is σ = 1329813821952. Its totient is φ = 105438827520.

The previous prime is 379960725311. The next prime is 379960725329. The reversal of 379960725312 is 213527069973.

379960725312 is a `hidden beast` number, since 3 + 7 + 9 + 9 + 607 + 25 + 3 + 1 + 2 = 666.

It is a super-4 number, since 4×379960725312⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379960725311) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 2900463487 + ... + 2900463617.

Almost surely, 2^379960725312 is an apocalyptic number.

379960725312 is a gapful number since it is divisible by the number (32) 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 379960725312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664906910976).

379960725312 is an abundant number, since it is smaller than the sum of its proper divisors (949853096640).

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

379960725312 is a wasteful number, since it uses less digits than its factorization.

379960725312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The spelling of 379960725312 in words is "three hundred seventy-nine billion, nine hundred sixty million, seven hundred twenty-five thousand, three hundred twelve".