379382083600 has 405 divisors, whose sum is σ = 1041863236407. Its totient is φ = 132688258560.

The previous prime is 379382083583. The next prime is 379382083637. The reversal of 379382083600 is 6380283973.

The square root of 379382083600 is 615940.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 97786293264 + 281595790336 = 312708^2 + 530656^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3683321149 + ... + 3683321251.

Almost surely, 2^379382083600 is an apocalyptic number.

379382083600 is the 615940-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379382083600

379382083600 is an abundant number, since it is smaller than the sum of its proper divisors (662481152807).

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

379382083600 is a wasteful number, since it uses less digits than its factorization.

379382083600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

Multiplying 379382083600 by its sum of digits (49), we get a square (18589722096400 = 4311580²).

The spelling of 379382083600 in words is "three hundred seventy-nine billion, three hundred eighty-two million, eighty-three thousand, six hundred".