3690570240 has 480 divisors, whose sum is σ = 14937436800. Its totient is φ = 841752576.

The previous prime is 3690570227. The next prime is 3690570259. The reversal of 3690570240 is 420750963.

3690570240 is a `hidden beast` number, since 3 + 69 + 0 + 570 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 3690570195 and 3690570204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7902487 + ... + 7902953.

It is an arithmetic number, because the mean of its divisors is an integer number (31119660).

Almost surely, 2^3690570240 is an apocalyptic number.

3690570240 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 3690570240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7468718400).

3690570240 is an abundant number, since it is smaller than the sum of its proper divisors (11246866560).

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

3690570240 is an equidigital number, since it uses as much as digits as its factorization.

3690570240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3690570240 is about 60750.0637036703. The cubic root of 3690570240 is about 1545.3653077801.

The spelling of 3690570240 in words is "three billion, six hundred ninety million, five hundred seventy thousand, two hundred forty".