361770624 has 112 divisors (see below), whose sum is σ = 1080856770. Its totient is φ = 120559104.

The previous prime is 361770623. The next prime is 361770641. The reversal of 361770624 is 426077163.

It can be written as a sum of positive squares in only one way, i.e., 337089600 + 24681024 = 18360^2 + 4968^2 .

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

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (361770623) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 91374 + ... + 95250.

Almost surely, 2^361770624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361770624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540428385).

361770624 is an abundant number, since it is smaller than the sum of its proper divisors (719086146).

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

361770624 is an frugal number, since it uses more digits than its factorization.

361770624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3909 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 361770624 is about 19020.2687678171. The cubic root of 361770624 is about 712.5430356277.

The spelling of 361770624 in words is "three hundred sixty-one million, seven hundred seventy thousand, six hundred twenty-four".