379304104114800 has 960 divisors, whose sum is σ = 1492793597952000. Its totient is φ = 90986363043840.

The previous prime is 379304104114769. The next prime is 379304104114879. The reversal of 379304104114800 is 8411401403973.

It is a happy number.

379304104114800 is a `hidden beast` number, since 3 + 7 + 93 + 0 + 41 + 0 + 41 + 1 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5400926086 + ... + 5400996314.

It is an arithmetic number, because the mean of its divisors is an integer number (1554993331200).

Almost surely, 2^{379304104114800} is an apocalyptic number.

379304104114800 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 379304104114800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746396798976000).

379304104114800 is an abundant number, since it is smaller than the sum of its proper divisors (1113489493837200).

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

379304104114800 is a wasteful number, since it uses less digits than its factorization.

379304104114800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71575 (or 71558 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 379304104114800 in words is "three hundred seventy-nine trillion, three hundred four billion, one hundred four million, one hundred fourteen thousand, eight hundred".