379085952 has 96 divisors (see below), whose sum is σ = 1171404720. Its totient is φ = 108304896.

The previous prime is 379085947. The next prime is 379085957. The reversal of 379085952 is 259580973.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (379085947) and next prime (379085957).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (379085957) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8743 + ... + 28889.

Almost surely, 2^379085952 is an apocalyptic number.

379085952 is a gapful number since it is divisible by the number (32) 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 379085952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585702360).

379085952 is an abundant number, since it is smaller than the sum of its proper divisors (792318768).

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

379085952 is a wasteful number, since it uses less digits than its factorization.

379085952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20178 (or 20159 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The square root of 379085952 is about 19470.1297376263. The cubic root of 379085952 is about 723.7344243324.

The spelling of 379085952 in words is "three hundred seventy-nine million, eighty-five thousand, nine hundred fifty-two".