379581620400 has 360 divisors, whose sum is σ = 1361477145600. Its totient is φ = 97831872000.

The previous prime is 379581620333. The next prime is 379581620401. The reversal of 379581620400 is 4026185973.

379581620400 is a `hidden beast` number, since 3 + 7 + 9 + 581 + 6 + 20 + 40 + 0 = 666.

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

It is a super-3 number, since 3×379581620400³ (a number of 36 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (379581620401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 115057951 + ... + 115061249.

It is an arithmetic number, because the mean of its divisors is an integer number (3781880960).

It is a 2-persistent number, because it is pandigital, and so is 2⋅379581620400 = 759163240800, but 3⋅379581620400 = 1138744861200 is not.

Almost surely, 2^379581620400 is an apocalyptic number.

379581620400 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 379581620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680738572800).

379581620400 is an abundant number, since it is smaller than the sum of its proper divisors (981895525200).

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

379581620400 is a wasteful number, since it uses less digits than its factorization.

379581620400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4385 (or 4371 counting only the distinct ones).

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

The spelling of 379581620400 in words is "three hundred seventy-nine billion, five hundred eighty-one million, six hundred twenty thousand, four hundred".