379293984576 has 252 divisors, whose sum is σ = 1178434719072. Its totient is φ = 116587441152.

The previous prime is 379293984547. The next prime is 379293984583. The reversal of 379293984576 is 675489392973.

379293984576 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 181740205 + ... + 181742291.

Almost surely, 2^379293984576 is an apocalyptic number.

379293984576 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 379293984576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589217359536).

379293984576 is an abundant number, since it is smaller than the sum of its proper divisors (799140734496).

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

379293984576 is a wasteful number, since it uses less digits than its factorization.

379293984576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3998 (or 3972 counting only the distinct ones).

The product of its digits is 617258880, while the sum is 72.

The spelling of 379293984576 in words is "three hundred seventy-nine billion, two hundred ninety-three million, nine hundred eighty-four thousand, five hundred seventy-six".