369563040 has 576 divisors, whose sum is σ = 1640943360. Its totient is φ = 76032000.

The previous prime is 369563039. The next prime is 369563063. The reversal of 369563040 is 40365963.

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 = 369562986 and 369563004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3658990 + ... + 3659090.

It is an arithmetic number, because the mean of its divisors is an integer number (2848860).

Almost surely, 2^369563040 is an apocalyptic number.

369563040 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 369563040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820471680).

369563040 is an abundant number, since it is smaller than the sum of its proper divisors (1271380320).

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

369563040 is a wasteful number, since it uses less digits than its factorization.

369563040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 369563040 is about 19224.0224718970. The cubic root of 369563040 is about 717.6227149106.

The spelling of 369563040 in words is "three hundred sixty-nine million, five hundred sixty-three thousand, forty".