379774676736 has 864 divisors, whose sum is σ = 1418273059840. Its totient is φ = 98680799232.

The previous prime is 379774676717. The next prime is 379774676747. The reversal of 379774676736 is 637676477973.

379774676736 is a `hidden beast` number, since 3 + 7 + 9 + 77 + 467 + 67 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×379774676736² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 413247285 + ... + 413248203.

Almost surely, 2^379774676736 is an apocalyptic number.

379774676736 is a gapful number since it is divisible by the number (36) 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 379774676736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709136529920).

379774676736 is an abundant number, since it is smaller than the sum of its proper divisors (1038498383104).

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

379774676736 is an equidigital number, since it uses as much as digits as its factorization.

379774676736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1017 counting only the distinct ones).

The product of its digits is 1176221088, while the sum is 72.

The spelling of 379774676736 in words is "three hundred seventy-nine billion, seven hundred seventy-four million, six hundred seventy-six thousand, seven hundred thirty-six".