369865920 has 112 divisors (see below), whose sum is σ = 1203094368. Its totient is φ = 96215040.

The previous prime is 369865897. The next prime is 369865931. The reversal of 369865920 is 29568963.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 369865920.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34662 + ... + 44058.

It is an arithmetic number, because the mean of its divisors is an integer number (10741914).

Almost surely, 2^369865920 is an apocalyptic number.

369865920 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 369865920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601547184).

369865920 is an abundant number, since it is smaller than the sum of its proper divisors (833228448).

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

369865920 is a wasteful number, since it uses less digits than its factorization.

369865920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9458 (or 9448 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 369865920 is about 19231.8985022280. The cubic root of 369865920 is about 717.8187069274.

The spelling of 369865920 in words is "three hundred sixty-nine million, eight hundred sixty-five thousand, nine hundred twenty".