379216679436 has 288 divisors, whose sum is σ = 1140547000320. Its totient is φ = 103994150400.

The previous prime is 379216679407. The next prime is 379216679509. The reversal of 379216679436 is 634976612973.

379216679436 is a `hidden beast` number, since 3 + 79 + 2 + 1 + 66 + 79 + 436 = 666.

It is a super-3 number, since 3×379216679436³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 354739110 + ... + 354740178.

It is an arithmetic number, because the mean of its divisors is an integer number (3960232640).

Almost surely, 2^379216679436 is an apocalyptic number.

379216679436 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 379216679436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570273500160).

379216679436 is an abundant number, since it is smaller than the sum of its proper divisors (761330320884).

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

379216679436 is a wasteful number, since it uses less digits than its factorization.

379216679436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1685 (or 1680 counting only the distinct ones).

The product of its digits is 61725888, while the sum is 63.

The spelling of 379216679436 in words is "three hundred seventy-nine billion, two hundred sixteen million, six hundred seventy-nine thousand, four hundred thirty-six".