369828960 has 192 divisors, whose sum is σ = 1229437440. Its totient is φ = 93265920.

The previous prime is 369828929. The next prime is 369828971. The reversal of 369828960 is 69828963.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1534440 + ... + 1534680.

It is an arithmetic number, because the mean of its divisors is an integer number (6403320).

Almost surely, 2^369828960 is an apocalyptic number.

369828960 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 369828960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614718720).

369828960 is an abundant number, since it is smaller than the sum of its proper divisors (859608480).

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

369828960 is a wasteful number, since it uses less digits than its factorization.

369828960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The square root of 369828960 is about 19230.9375746478. The cubic root of 369828960 is about 717.7947960435.

The spelling of 369828960 in words is "three hundred sixty-nine million, eight hundred twenty-eight thousand, nine hundred sixty".