3690567880 has 64 divisors (see below), whose sum is σ = 8523440640. Its totient is φ = 1437391872.

The previous prime is 3690567877. The next prime is 3690567911. The reversal of 3690567880 is 887650963.

It is a super-4 number, since 4×3690567880⁴ (a number of 39 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 576457 + ... + 582823.

It is an arithmetic number, because the mean of its divisors is an integer number (133178760).

Almost surely, 2^3690567880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3690567880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4261720320).

3690567880 is an abundant number, since it is smaller than the sum of its proper divisors (4832872760).

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

3690567880 is a wasteful number, since it uses less digits than its factorization.

3690567880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6758 (or 6754 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 52.

The square root of 3690567880 is about 60750.0442798193. The cubic root of 3690567880 is about 1545.3649783764.

The spelling of 3690567880 in words is "three billion, six hundred ninety million, five hundred sixty-seven thousand, eight hundred eighty".