379917972 has 288 divisors, whose sum is σ = 1254839040. Its totient is φ = 98703360.

The previous prime is 379917971. The next prime is 379917973. The reversal of 379917972 is 279719973.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (379917971) and next prime (379917973).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379917971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3688473 + ... + 3688575.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080).

Almost surely, 2^379917972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379917972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627419520).

379917972 is an abundant number, since it is smaller than the sum of its proper divisors (874921068).

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

379917972 is a wasteful number, since it uses less digits than its factorization.

379917972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 173 counting only the distinct ones).

The product of its digits is 1500282, while the sum is 54.

The square root of 379917972 is about 19491.4846022564. The cubic root of 379917972 is about 724.2635229062.

The spelling of 379917972 in words is "three hundred seventy-nine million, nine hundred seventeen thousand, nine hundred seventy-two".