379894881600 has 672 divisors, whose sum is σ = 1539564794880. Its totient is φ = 90491904000.

The previous prime is 379894881599. The next prime is 379894881601. The reversal of 379894881600 is 6188498973.

379894881600 is a `hidden beast` number, since 3 + 7 + 98 + 9 + 488 + 1 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (379894881599) and next prime (379894881601).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379894881601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17398690 + ... + 17420510.

It is an arithmetic number, because the mean of its divisors is an integer number (2291019040).

Almost surely, 2^379894881600 is an apocalyptic number.

379894881600 is a gapful number since it is divisible by the number (30) 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 379894881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769782397440).

379894881600 is an abundant number, since it is smaller than the sum of its proper divisors (1159669913280).

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

379894881600 is a wasteful number, since it uses less digits than its factorization.

379894881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21896 (or 21875 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 379894881600 in words is "three hundred seventy-nine billion, eight hundred ninety-four million, eight hundred eighty-one thousand, six hundred".