3690887616 has 168 divisors, whose sum is σ = 11433108960. Its totient is φ = 1131669504.

The previous prime is 3690887591. The next prime is 3690887653. The reversal of 3690887616 is 6167880963.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2687506 + ... + 2688878.

It is an arithmetic number, because the mean of its divisors is an integer number (68054220).

Almost surely, 2^3690887616 is an apocalyptic number.

3690887616 is a gapful number since it is divisible by the number (36) 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 3690887616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5716554480).

3690887616 is an abundant number, since it is smaller than the sum of its proper divisors (7742221344).

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

3690887616 is a wasteful number, since it uses less digits than its factorization.

3690887616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 3690887616 is about 60752.6757929229. The cubic root of 3690887616 is about 1545.4096051623.

The spelling of 3690887616 in words is "three billion, six hundred ninety million, eight hundred eighty-seven thousand, six hundred sixteen".