369798144 has 176 divisors, whose sum is σ = 1068828768. Its totient is φ = 113246208.

The previous prime is 369798137. The next prime is 369798167. The reversal of 369798144 is 441897963.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (1306368) is a multiple of the sum of its prime divisors (192).

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, 3812304 + ... + 3812400.

Almost surely, 2^369798144 is an apocalyptic number.

369798144 is a gapful number since it is divisible by the number (34) 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 369798144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534414384).

369798144 is an abundant number, since it is smaller than the sum of its proper divisors (699030624).

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

369798144 is a wasteful number, since it uses less digits than its factorization.

369798144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 192 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 51.

The square root of 369798144 is about 19230.1363489706. The cubic root of 369798144 is about 717.7748587380.

The spelling of 369798144 in words is "three hundred sixty-nine million, seven hundred ninety-eight thousand, one hundred forty-four".