369794880 has 672 divisors, whose sum is σ = 1677521664. Its totient is φ = 72548352.

The previous prime is 369794857. The next prime is 369794881. The reversal of 369794880 is 88497963.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (369794881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4455319 + ... + 4455401.

It is an arithmetic number, because the mean of its divisors is an integer number (2496312).

Almost surely, 2^369794880 is an apocalyptic number.

369794880 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 369794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838760832).

369794880 is an abundant number, since it is smaller than the sum of its proper divisors (1307726784).

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

369794880 is a wasteful number, since it uses less digits than its factorization.

369794880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 369794880 is about 19230.0514819904. The cubic root of 369794880 is about 717.7727469336.

The spelling of 369794880 in words is "three hundred sixty-nine million, seven hundred ninety-four thousand, eight hundred eighty".