379662018912 has 768 divisors, whose sum is σ = 1318386585600. Its totient is φ = 105365053440.

The previous prime is 379662018863. The next prime is 379662018913. The reversal of 379662018912 is 219810266973.

379662018912 is a `hidden beast` number, since 3 + 7 + 9 + 6 + 620 + 1 + 8 + 9 + 1 + 2 = 666.

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 (379662018913) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2194578058 + ... + 2194578230.

It is an arithmetic number, because the mean of its divisors is an integer number (1716649200).

Almost surely, 2^379662018912 is an apocalyptic number.

379662018912 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 379662018912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659193292800).

379662018912 is an abundant number, since it is smaller than the sum of its proper divisors (938724566688).

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

379662018912 is a wasteful number, since it uses less digits than its factorization.

379662018912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 379662018912 in words is "three hundred seventy-nine billion, six hundred sixty-two million, eighteen thousand, nine hundred twelve".