379324581120 has 360 divisors, whose sum is σ = 1359335738376. Its totient is φ = 101001019392.

The previous prime is 379324581029. The next prime is 379324581121. The reversal of 379324581120 is 21185423973.

It is a happy number.

379324581120 is a `hidden beast` number, since 3 + 79 + 3 + 2 + 458 + 1 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5309162496 + 374015418624 = 72864^2 + 611568^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379324581121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 80142274 + ... + 80147006.

Almost surely, 2^379324581120 is an apocalyptic number.

379324581120 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 379324581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679667869188).

379324581120 is an abundant number, since it is smaller than the sum of its proper divisors (980011157256).

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

379324581120 is an equidigital number, since it uses as much as digits as its factorization.

379324581120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5539 (or 5516 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 379324581120 in words is "three hundred seventy-nine billion, three hundred twenty-four million, five hundred eighty-one thousand, one hundred twenty".