3367980 has 192 divisors, whose sum is σ = 13224960. Its totient is φ = 699840.

The previous prime is 3367963. The next prime is 3367981. The reversal of 3367980 is 897633.

It is a super-2 number, since 2×3367980² = 22686578560800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3367981) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 306175 + ... + 306185.

It is an arithmetic number, because the mean of its divisors is an integer number (68880).

Almost surely, 2^3367980 is an apocalyptic number.

3367980 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 3367980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6612480).

3367980 is an abundant number, since it is smaller than the sum of its proper divisors (9856980).

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

3367980 is a wasteful number, since it uses less digits than its factorization.

3367980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3367980 is about 1835.2057105404. The cubic root of 3367980 is about 149.8959278099.

The spelling of 3367980 in words is "three million, three hundred sixty-seven thousand, nine hundred eighty".