369432648 has 144 divisors (see below), whose sum is σ = 1098098820. Its totient is φ = 112140288.

The previous prime is 369432629. The next prime is 369432659. The reversal of 369432648 is 846234963.

It can be written as a sum of positive squares in 6 ways, for example, as 101124 + 369331524 = 318^2 + 19218^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1180140 + ... + 1180452.

Almost surely, 2^369432648 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 369432648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549049410).

369432648 is an abundant number, since it is smaller than the sum of its proper divisors (728666172).

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

369432648 is a wasteful number, since it uses less digits than its factorization.

369432648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 428 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 369432648 is about 19220.6307908976. The cubic root of 369432648 is about 717.5383059753.

The spelling of 369432648 in words is "three hundred sixty-nine million, four hundred thirty-two thousand, six hundred forty-eight".