363882960 has 480 divisors, whose sum is σ = 1537615872. Its totient is φ = 75202560.

The previous prime is 363882949. The next prime is 363882973. The reversal of 363882960 is 69288363.

363882960 is a `hidden beast` number, since 3 + 638 + 8 + 2 + 9 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2656012 + ... + 2656148.

Almost surely, 2^363882960 is an apocalyptic number.

363882960 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 363882960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768807936).

363882960 is an abundant number, since it is smaller than the sum of its proper divisors (1173732912).

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

363882960 is a wasteful number, since it uses less digits than its factorization.

363882960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 363882960 is about 19075.7165003048. The cubic root of 363882960 is about 713.9271634384.

The spelling of 363882960 in words is "three hundred sixty-three million, eight hundred eighty-two thousand, nine hundred sixty".