379898084966400 has 10080 divisors, whose sum is σ = 2005474177437696. Its totient is φ = 68797071360000.

The previous prime is 379898084966383. The next prime is 379898084966401. The reversal of 379898084966400 is 4669480898973.

379898084966400 is a `hidden beast` number, since 3 + 7 + 9 + 8 + 9 + 80 + 8 + 496 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (10080).

It is a super-2 number, since 2×379898084966400² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 379898084966400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379898084966401) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 9265806950380 + ... + 9265806950420.

Almost surely, 2^{379898084966400} is an apocalyptic number.

379898084966400 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 379898084966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002737088718848).

379898084966400 is an abundant number, since it is smaller than the sum of its proper divisors (1625576092471296).

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

379898084966400 is a wasteful number, since it uses less digits than its factorization.

379898084966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4514807808, while the sum is 81.

The spelling of 379898084966400 in words is "three hundred seventy-nine trillion, eight hundred ninety-eight billion, eighty-four million, nine hundred sixty-six thousand, four hundred".