3946980 has 48 divisors (see below), whose sum is σ = 11148480. Its totient is φ = 1043328.

The previous prime is 3946939. The next prime is 3946981. The reversal of 3946980 is 896493.

It is a super-2 number, since 2×3946980² = 31157302240800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3946981) 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, 9211 + ... + 9629.

It is an arithmetic number, because the mean of its divisors is an integer number (232260).

Almost surely, 2^3946980 is an apocalyptic number.

3946980 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 3946980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5574240).

3946980 is an abundant number, since it is smaller than the sum of its proper divisors (7201500).

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

3946980 is a wasteful number, since it uses less digits than its factorization.

3946980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 588 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 3946980 is about 1986.7007827048. The cubic root of 3946980 is about 158.0356166035.

The spelling of 3946980 in words is "three million, nine hundred forty-six thousand, nine hundred eighty".