379215783378432 has 1920 divisors, whose sum is σ = 1600760214789120. Its totient is φ = 86967275028480.

The previous prime is 379215783378389. The next prime is 379215783378433. The reversal of 379215783378432 is 234873387512973.

379215783378432 is a `hidden beast` number, since 3 + 7 + 9 + 2 + 1 + 578 + 3 + 3 + 7 + 8 + 43 + 2 = 666.

It is a super-2 number, since 2×379215783378432² (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379215783378433) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2227804558 + ... + 2227974770.

It is an arithmetic number, because the mean of its divisors is an integer number (833729278536).

Almost surely, 2^{379215783378432} is an apocalyptic number.

379215783378432 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 379215783378432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800380107394560).

379215783378432 is an abundant number, since it is smaller than the sum of its proper divisors (1221544431410688).

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

379215783378432 is a wasteful number, since it uses less digits than its factorization.

379215783378432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170301 (or 170272 counting only the distinct ones).

The product of its digits is 1280240640, while the sum is 72.

The spelling of 379215783378432 in words is "three hundred seventy-nine trillion, two hundred fifteen billion, seven hundred eighty-three million, three hundred seventy-eight thousand, four hundred thirty-two".