379319001632 has 48 divisors (see below), whose sum is σ = 763545605760. Its totient is φ = 185411889408.

The previous prime is 379319001631. The next prime is 379319001709. The reversal of 379319001632 is 236100913973.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (379319001631) 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 7 ways as a sum of consecutive naturals, for example, 1175219 + ... + 1462797.

It is an arithmetic number, because the mean of its divisors is an integer number (15907200120).

Almost surely, 2^379319001632 is an apocalyptic number.

379319001632 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 379319001632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381772802880).

379319001632 is an abundant number, since it is smaller than the sum of its proper divisors (384226604128).

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

379319001632 is a wasteful number, since it uses less digits than its factorization.

379319001632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288513 (or 288505 counting only the distinct ones).

The product of its (nonzero) digits is 183708, while the sum is 44.

The spelling of 379319001632 in words is "three hundred seventy-nine billion, three hundred nineteen million, one thousand, six hundred thirty-two".