379974741120 has 2048 divisors, whose sum is σ = 1643410944000. Its totient is φ = 82046877696.

The previous prime is 379974741101. The next prime is 379974741121. The reversal of 379974741120 is 21147479973.

It is a happy number.

379974741120 is a `hidden beast` number, since 3 + 79 + 97 + 474 + 1 + 12 + 0 = 666.

It is a super-2 number, since 2×379974741120² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (379974741121) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5205133404 + ... + 5205133476.

It is an arithmetic number, because the mean of its divisors is an integer number (802446750).

Almost surely, 2^379974741120 is an apocalyptic number.

379974741120 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 379974741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821705472000).

379974741120 is an abundant number, since it is smaller than the sum of its proper divisors (1263436202880).

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

379974741120 is a wasteful number, since it uses less digits than its factorization.

379974741120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 379974741120 in words is "three hundred seventy-nine billion, nine hundred seventy-four million, seven hundred forty-one thousand, one hundred twenty".