369743040 has 336 divisors, whose sum is σ = 1390802400. Its totient is φ = 89800704.

The previous prime is 369742993. The next prime is 369743041. The reversal of 369743040 is 40347963.

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 = 369742986 and 369743004.

It is not an unprimeable number, because it can be changed into a prime (369743041) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1586764 + ... + 1586996.

Almost surely, 2^369743040 is an apocalyptic number.

369743040 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 369743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695401200).

369743040 is an abundant number, since it is smaller than the sum of its proper divisors (1021059360).

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

369743040 is a wasteful number, since it uses less digits than its factorization.

369743040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 369743040 is about 19228.7035444411. The cubic root of 369743040 is about 717.7392048449.

The spelling of 369743040 in words is "three hundred sixty-nine million, seven hundred forty-three thousand, forty".