369008640 has 672 divisors, whose sum is σ = 1717462656. Its totient is φ = 70778880.

The previous prime is 369008639. The next prime is 369008641. The reversal of 369008640 is 46800963.

369008640 is a `hidden beast` number, since 3 + 6 + 9 + 0 + 0 + 8 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (369008639) and next prime (369008641).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 369008595 and 369008604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (369008641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28385274 + ... + 28385286.

It is an arithmetic number, because the mean of its divisors is an integer number (2555748).

Almost surely, 2^369008640 is an apocalyptic number.

369008640 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 369008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858731328).

369008640 is an abundant number, since it is smaller than the sum of its proper divisors (1348454016).

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

369008640 is a wasteful number, since it uses less digits than its factorization.

369008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 369008640 is about 19209.5976011993. The cubic root of 369008640 is about 717.2636880771.

The spelling of 369008640 in words is "three hundred sixty-nine million, eight thousand, six hundred forty".