3409980 has 96 divisors (see below), whose sum is σ = 11418624. Its totient is φ = 743424.

The previous prime is 3409937. The next prime is 3409981. The reversal of 3409980 is 899043.

3409980 = T₁₂₀ + T₁₂₁ + ... + T₂₈₀.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct 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 (3409981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9484 + ... + 9836.

It is an arithmetic number, because the mean of its divisors is an integer number (118944).

Almost surely, 2^3409980 is an apocalyptic number.

3409980 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 3409980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5709312).

3409980 is an abundant number, since it is smaller than the sum of its proper divisors (8008644).

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

3409980 is a wasteful number, since it uses less digits than its factorization.

3409980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 3409980 is about 1846.6131159504. The cubic root of 3409980 is about 150.5164420987.

The spelling of 3409980 in words is "three million, four hundred nine thousand, nine hundred eighty".