369073920 has 144 divisors (see below), whose sum is σ = 1186762752. Its totient is φ = 97751040.

The previous prime is 369073919. The next prime is 369073921. The reversal of 369073920 is 29370963.

369073920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (369073919) and next prime (369073921).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (369073921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 856105 + ... + 856535.

It is an arithmetic number, because the mean of its divisors is an integer number (8241408).

Almost surely, 2^369073920 is an apocalyptic number.

369073920 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 369073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593381376).

369073920 is an abundant number, since it is smaller than the sum of its proper divisors (817688832).

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

369073920 is a wasteful number, since it uses less digits than its factorization.

369073920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 39.

The square root of 369073920 is about 19211.2966766952. The cubic root of 369073920 is about 717.3059817686.

The spelling of 369073920 in words is "three hundred sixty-nine million, seventy-three thousand, nine hundred twenty".