363378960 has 200 divisors, whose sum is σ = 1442544576. Its totient is φ = 83047680.

The previous prime is 363378881. The next prime is 363378979. The reversal of 363378960 is 69873363.

It is a happy number.

363378960 is a `hidden beast` number, since 3 + 633 + 7 + 8 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41355 + ... + 49365.

Almost surely, 2^363378960 is an apocalyptic number.

363378960 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 363378960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721272288).

363378960 is an abundant number, since it is smaller than the sum of its proper divisors (1079165616).

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

363378960 is a wasteful number, since it uses less digits than its factorization.

363378960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8043 (or 8028 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 363378960 is about 19062.5014098360. The cubic root of 363378960 is about 713.5974003170.

The spelling of 363378960 in words is "three hundred sixty-three million, three hundred seventy-eight thousand, nine hundred sixty".