379798416000 has 768 divisors, whose sum is σ = 1436618102400. Its totient is φ = 98620416000.

The previous prime is 379798415999. The next prime is 379798416121. The reversal of 379798416000 is 614897973.

It is a happy number.

It is a super-2 number, since 2×379798416000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 726191739 + ... + 726192261.

Almost surely, 2^379798416000 is an apocalyptic number.

379798416000 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 379798416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718309051200).

379798416000 is an abundant number, since it is smaller than the sum of its proper divisors (1056819686400).

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

379798416000 is an equidigital number, since it uses as much as digits as its factorization.

379798416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 379798416000 in words is "three hundred seventy-nine billion, seven hundred ninety-eight million, four hundred sixteen thousand".