3386980 has 48 divisors (see below), whose sum is σ = 7660800. Its totient is φ = 1254528.

The previous prime is 3386951. The next prime is 3386983. The reversal of 3386980 is 896833.

It is a happy number.

It is a super-2 number, since 2×3386980² = 22943267040800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (3386983) 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, 16921 + ... + 17119.

It is an arithmetic number, because the mean of its divisors is an integer number (159600).

Almost surely, 2^3386980 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 3386980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3830400).

3386980 is an abundant number, since it is smaller than the sum of its proper divisors (4273820).

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

3386980 is a wasteful number, since it uses less digits than its factorization.

3386980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 3386980 is about 1840.3749617945. The cubic root of 3386980 is about 150.1772718968.

The spelling of 3386980 in words is "three million, three hundred eighty-six thousand, nine hundred eighty".