379083253248 has 480 divisors, whose sum is σ = 1308550104576. Its totient is φ = 103296466944.

The previous prime is 379083253231. The next prime is 379083253261. The reversal of 379083253248 is 842352380973.

379083253248 is a `hidden beast` number, since 3 + 79 + 0 + 8 + 32 + 532 + 4 + 8 = 666.

It is a super-2 number, since 2×379083253248² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 379083253194 and 379083253203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 388006936 + ... + 388007912.

Almost surely, 2^379083253248 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 379083253248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654275052288).

379083253248 is an abundant number, since it is smaller than the sum of its proper divisors (929466851328).

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

379083253248 is a wasteful number, since it uses less digits than its factorization.

379083253248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1535 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 379083253248 in words is "three hundred seventy-nine billion, eighty-three million, two hundred fifty-three thousand, two hundred forty-eight".