3980680 has 64 divisors (see below), whose sum is σ = 9979200. Its totient is φ = 1416960.

The previous prime is 3980663. The next prime is 3980687. The reversal of 3980680 is 860893.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3980687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36466 + ... + 36574.

It is an arithmetic number, because the mean of its divisors is an integer number (155925).

Almost surely, 2^3980680 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 3980680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4989600).

3980680 is an abundant number, since it is smaller than the sum of its proper divisors (5998520).

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

3980680 is a wasteful number, since it uses less digits than its factorization.

3980680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 3980680 is about 1995.1641536475. The cubic root of 3980680 is about 158.4841210495.

The spelling of 3980680 in words is "three million, nine hundred eighty thousand, six hundred eighty".