369625360 has 80 divisors (see below), whose sum is σ = 929409264. Its totient is φ = 135899136.

The previous prime is 369625337. The next prime is 369625379. The reversal of 369625360 is 63526963.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 28558336 + 341067024 = 5344^2 + 18468^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304114 + ... + 305326.

Almost surely, 2^369625360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 369625360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464704632).

369625360 is an abundant number, since it is smaller than the sum of its proper divisors (559783904).

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

369625360 is a wasteful number, since it uses less digits than its factorization.

369625360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 40.

The square root of 369625360 is about 19225.6432922282. The cubic root of 369625360 is about 717.6630505945.

The spelling of 369625360 in words is "three hundred sixty-nine million, six hundred twenty-five thousand, three hundred sixty".