3683890980 has 432 divisors, whose sum is σ = 14272632192. Its totient is φ = 752716800.

The previous prime is 3683890963. The next prime is 3683890997. The reversal of 3683890980 is 890983863.

It is an interprime number because it is at equal distance from previous prime (3683890963) and next prime (3683890997).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11129415 + ... + 11129745.

Almost surely, 2^3683890980 is an apocalyptic number.

3683890980 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 3683890980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7136316096).

3683890980 is an abundant number, since it is smaller than the sum of its proper divisors (10588741212).

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

3683890980 is a wasteful number, since it uses less digits than its factorization.

3683890980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 3683890980 is about 60695.0655325456. The cubic root of 3683890980 is about 1544.4324682097.

The spelling of 3683890980 in words is "three billion, six hundred eighty-three million, eight hundred ninety thousand, nine hundred eighty".