3680942760 has 192 divisors, whose sum is σ = 13354735680. Its totient is φ = 871557120.

The previous prime is 3680942737. The next prime is 3680942777. The reversal of 3680942760 is 672490863.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 159472 + ... + 181088.

It is an arithmetic number, because the mean of its divisors is an integer number (69555915).

Almost surely, 2^3680942760 is an apocalyptic number.

3680942760 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 3680942760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6677367840).

3680942760 is an abundant number, since it is smaller than the sum of its proper divisors (9673792920).

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

3680942760 is a wasteful number, since it uses less digits than its factorization.

3680942760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21688 (or 21681 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3680942760 is about 60670.7735239959. The cubic root of 3680942760 is about 1544.0203548642.

The spelling of 3680942760 in words is "three billion, six hundred eighty million, nine hundred forty-two thousand, seven hundred sixty".