363645180 has 288 divisors, whose sum is σ = 1263494400. Its totient is φ = 86562432.

The previous prime is 363645179. The next prime is 363645223. The reversal of 363645180 is 81546363.

363645180 is a `hidden beast` number, since 3 + 6 + 3 + 645 + 1 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5427507 + ... + 5427573.

Almost surely, 2^363645180 is an apocalyptic number.

363645180 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 363645180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631747200).

363645180 is an abundant number, since it is smaller than the sum of its proper divisors (899849220).

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

363645180 is a wasteful number, since it uses less digits than its factorization.

363645180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 363645180 is about 19069.4829505155. The cubic root of 363645180 is about 713.7716238747.

The spelling of 363645180 in words is "three hundred sixty-three million, six hundred forty-five thousand, one hundred eighty".