369815040 has 240 divisors, whose sum is σ = 1464379488. Its totient is φ = 84492288.

The previous prime is 369815029. The next prime is 369815041. The reversal of 369815040 is 40518963.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 369814986 and 369815004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (369815041) 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 23 ways as a sum of consecutive naturals, for example, 160134 + ... + 162426.

Almost surely, 2^369815040 is an apocalyptic number.

369815040 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 369815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732189744).

369815040 is an abundant number, since it is smaller than the sum of its proper divisors (1094564448).

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

369815040 is a wasteful number, since it uses less digits than its factorization.

369815040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 369815040 is about 19230.5756544103. The cubic root of 369815040 is about 717.7857902327.

It can be divided in two parts, 369 and 815040, that added together give a square (815409 = 903²).

The spelling of 369815040 in words is "three hundred sixty-nine million, eight hundred fifteen thousand, forty".