369714240 has 224 divisors, whose sum is σ = 1490837760. Its totient is φ = 84492288.

The previous prime is 369714227. The next prime is 369714263. The reversal of 369714240 is 42417963.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a junction number, because it is equal to n+sod(n) for n = 369714195 and 369714204.

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, 57424 + ... + 63536.

Almost surely, 2^369714240 is an apocalyptic number.

369714240 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 369714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745418880).

369714240 is an abundant number, since it is smaller than the sum of its proper divisors (1121123520).

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

369714240 is a wasteful number, since it uses less digits than its factorization.

369714240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6146 (or 6130 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 369714240 is about 19227.9546494160. The cubic root of 369714240 is about 717.7205689964.

The spelling of 369714240 in words is "three hundred sixty-nine million, seven hundred fourteen thousand, two hundred forty".