379281672 has 288 divisors, whose sum is σ = 1346604480. Its totient is φ = 93623040.

The previous prime is 379281659. The next prime is 379281719. The reversal of 379281672 is 276182973.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8820483 + ... + 8820525.

It is an arithmetic number, because the mean of its divisors is an integer number (4675710).

Almost surely, 2^379281672 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 379281672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673302240).

379281672 is an abundant number, since it is smaller than the sum of its proper divisors (967322808).

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

379281672 is a wasteful number, since it uses less digits than its factorization.

379281672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 103 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 379281672 is about 19475.1552497021. The cubic root of 379281672 is about 723.8589562758.

The spelling of 379281672 in words is "three hundred seventy-nine million, two hundred eighty-one thousand, six hundred seventy-two".