369661440 has 160 divisors (see below), whose sum is σ = 1194209280. Its totient is φ = 97542144.

The previous prime is 369661427. The next prime is 369661441. The reversal of 369661440 is 44166963.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (369661441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 975171 + ... + 975549.

It is an arithmetic number, because the mean of its divisors is an integer number (7463808).

Almost surely, 2^369661440 is an apocalyptic number.

369661440 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 369661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597104640).

369661440 is an abundant number, since it is smaller than the sum of its proper divisors (824547840).

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

369661440 is a wasteful number, since it uses less digits than its factorization.

369661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 369661440 is about 19226.5815994420. The cubic root of 369661440 is about 717.6864007604.

The spelling of 369661440 in words is "three hundred sixty-nine million, six hundred sixty-one thousand, four hundred forty".