379138071416832 has 3744 divisors, whose sum is σ = 1513318965552000. Its totient is φ = 94377542418432.

The previous prime is 379138071416831. The next prime is 379138071416843. The reversal of 379138071416832 is 238614170831973.

379138071416832 is a `hidden beast` number, since 3 + 7 + 9 + 138 + 0 + 7 + 1 + 416 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (3744).

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

It is a self number, because there is not a number n which added to its sum of digits gives 379138071416832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379138071416831) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1409435209594 + ... + 1409435209862.

Almost surely, 2^{379138071416832} is an apocalyptic number.

379138071416832 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 379138071416832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756659482776000).

379138071416832 is an abundant number, since it is smaller than the sum of its proper divisors (1134180894135168).

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

379138071416832 is an equidigital number, since it uses as much as digits as its factorization.

379138071416832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 379138071416832 in words is "three hundred seventy-nine trillion, one hundred thirty-eight billion, seventy-one million, four hundred sixteen thousand, eight hundred thirty-two".