363162780 has 72 divisors (see below), whose sum is σ = 1118072592. Its totient is φ = 95394816.

The previous prime is 363162743. The next prime is 363162781. The reversal of 363162780 is 87261363.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363162781) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2997 + ... + 27116.

It is an arithmetic number, because the mean of its divisors is an integer number (15528786).

Almost surely, 2^363162780 is an apocalyptic number.

363162780 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 363162780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559036296).

363162780 is an abundant number, since it is smaller than the sum of its proper divisors (754909812).

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

363162780 is a wasteful number, since it uses less digits than its factorization.

363162780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30195 (or 30190 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 363162780 is about 19056.8302715850. The cubic root of 363162780 is about 713.4558620472.

The spelling of 363162780 in words is "three hundred sixty-three million, one hundred sixty-two thousand, seven hundred eighty".