369900720 has 240 divisors, whose sum is σ = 1481905152. Its totient is φ = 80847360.

The previous prime is 369900719. The next prime is 369900731. The reversal of 369900720 is 27009963.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114325 + ... + 117515.

Almost surely, 2^369900720 is an apocalyptic number.

369900720 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 369900720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740952576).

369900720 is an abundant number, since it is smaller than the sum of its proper divisors (1112004432).

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

369900720 is a wasteful number, since it uses less digits than its factorization.

369900720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3240 (or 3231 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 369900720 is about 19232.8032278189. The cubic root of 369900720 is about 717.8412189660.

The spelling of 369900720 in words is "three hundred sixty-nine million, nine hundred thousand, seven hundred twenty".