363795120 has 120 divisors (see below), whose sum is σ = 1315759536. Its totient is φ = 89547264.

The previous prime is 363795119. The next prime is 363795151. The reversal of 363795120 is 21597363.

363795120 is a `hidden beast` number, since 3 + 637 + 9 + 5 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10074 + ... + 28793.

Almost surely, 2^363795120 is an apocalyptic number.

363795120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

363795120 is an abundant number, since it is smaller than the sum of its proper divisors (951964416).

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

363795120 is a wasteful number, since it uses less digits than its factorization.

363795120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38899 (or 38890 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 363795120 is about 19073.4139576532. The cubic root of 363795120 is about 713.8697123569.

The spelling of 363795120 in words is "three hundred sixty-three million, seven hundred ninety-five thousand, one hundred twenty".