363800160 has 168 divisors, whose sum is σ = 1289040480. Its totient is φ = 96982272.

The previous prime is 363800147. The next prime is 363800209. The reversal of 363800160 is 61008363.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 115081 + ... + 118199.

It is an arithmetic number, because the mean of its divisors is an integer number (7672860).

Almost surely, 2^363800160 is an apocalyptic number.

363800160 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 363800160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644520240).

363800160 is an abundant number, since it is smaller than the sum of its proper divisors (925240320).

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

363800160 is an equidigital number, since it uses as much as digits as its factorization.

363800160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3152 (or 3129 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 363800160 is about 19073.5460782729. The cubic root of 363800160 is about 713.8730089805.

The spelling of 363800160 in words is "three hundred sixty-three million, eight hundred thousand, one hundred sixty".