3670702560 has 576 divisors, whose sum is σ = 15669448704. Its totient is φ = 763084800.

The previous prime is 3670702537. The next prime is 3670702573. The reversal of 3670702560 is 652070763.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5311815 + ... + 5312505.

It is an arithmetic number, because the mean of its divisors is an integer number (27203904).

Almost surely, 2^3670702560 is an apocalyptic number.

3670702560 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 3670702560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7834724352).

3670702560 is an abundant number, since it is smaller than the sum of its proper divisors (11998746144).

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

3670702560 is a wasteful number, since it uses less digits than its factorization.

3670702560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 3670702560 is about 60586.3232091204. The cubic root of 3670702560 is about 1542.5872290910.

The spelling of 3670702560 in words is "three billion, six hundred seventy million, seven hundred two thousand, five hundred sixty".