3675312960 has 448 divisors, whose sum is σ = 13746723840. Its totient is φ = 821985280.

The previous prime is 3675312929. The next prime is 3675312961. The reversal of 3675312960 is 692135763.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3675312961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10591507 + ... + 10591853.

Almost surely, 2^3675312960 is an apocalyptic number.

3675312960 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 3675312960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6873361920).

3675312960 is an abundant number, since it is smaller than the sum of its proper divisors (10071410880).

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

3675312960 is a wasteful number, since it uses less digits than its factorization.

3675312960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The square root of 3675312960 is about 60624.3594605337. The cubic root of 3675312960 is about 1543.2327884072.

The spelling of 3675312960 in words is "three billion, six hundred seventy-five million, three hundred twelve thousand, nine hundred sixty".