379800960 has 384 divisors, whose sum is σ = 1540477440. Its totient is φ = 78704640.

The previous prime is 379800943. The next prime is 379800973. The reversal of 379800960 is 69008973.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1034697 + ... + 1035063.

It is an arithmetic number, because the mean of its divisors is an integer number (4011660).

Almost surely, 2^379800960 is an apocalyptic number.

379800960 is a gapful number since it is divisible by the number (30) 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 379800960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770238720).

379800960 is an abundant number, since it is smaller than the sum of its proper divisors (1160676480).

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

379800960 is a wasteful number, since it uses less digits than its factorization.

379800960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 379800960 is about 19488.4827526414. The cubic root of 379800960 is about 724.1891592877.

The spelling of 379800960 in words is "three hundred seventy-nine million, eight hundred thousand, nine hundred sixty".