379531958400 has 1152 divisors, whose sum is σ = 1642777891200. Its totient is φ = 83823206400.

The previous prime is 379531958381. The next prime is 379531958441. The reversal of 379531958400 is 4859135973.

379531958400 is a `hidden beast` number, since 3 + 7 + 9 + 53 + 1 + 9 + 584 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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 143 ways as a sum of consecutive naturals, for example, 581212474 + ... + 581213126.

It is an arithmetic number, because the mean of its divisors is an integer number (1426022475).

Almost surely, 2^379531958400 is an apocalyptic number.

379531958400 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 379531958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821388945600).

379531958400 is an abundant number, since it is smaller than the sum of its proper divisors (1263245932800).

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

379531958400 is a wasteful number, since it uses less digits than its factorization.

379531958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 379531958400 in words is "three hundred seventy-nine billion, five hundred thirty-one million, nine hundred fifty-eight thousand, four hundred".