379229396846400 has 1008 divisors, whose sum is σ = 1468167336919296. Its totient is φ = 92473713623040.

The previous prime is 379229396846381. The next prime is 379229396846411. The reversal of 379229396846400 is 4648693922973.

379229396846400 is a `hidden beast` number, since 3 + 7 + 9 + 2 + 2 + 93 + 96 + 8 + 46 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1576146907 + ... + 1576387493.

Almost surely, 2^{379229396846400} is an apocalyptic number.

379229396846400 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 379229396846400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734083668459648).

379229396846400 is an abundant number, since it is smaller than the sum of its proper divisors (1088937940072896).

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

379229396846400 is a wasteful number, since it uses less digits than its factorization.

379229396846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240816 (or 240798 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 72.

The spelling of 379229396846400 in words is "three hundred seventy-nine trillion, two hundred twenty-nine billion, three hundred ninety-six million, eight hundred forty-six thousand, four hundred".