379675004800 has 768 divisors, whose sum is σ = 1204202926080. Its totient is φ = 115059916800.

The previous prime is 379675004789. The next prime is 379675004837. The reversal of 379675004800 is 8400576973.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1236726247 + ... + 1236726553.

It is an arithmetic number, because the mean of its divisors is an integer number (1567972560).

Almost surely, 2^379675004800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379675004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602101463040).

379675004800 is an abundant number, since it is smaller than the sum of its proper divisors (824527921280).

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

379675004800 is a wasteful number, since it uses less digits than its factorization.

379675004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

The spelling of 379675004800 in words is "three hundred seventy-nine billion, six hundred seventy-five million, four thousand, eight hundred".