3412980 has 72 divisors (see below), whose sum is σ = 10544352. Its totient is φ = 893376.

The previous prime is 3412957. The next prime is 3412987. The reversal of 3412980 is 892143.

3412980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11919 + ... + 12201.

Almost surely, 2^3412980 is an apocalyptic number.

3412980 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 3412980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5272176).

3412980 is an abundant number, since it is smaller than the sum of its proper divisors (7131372).

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

3412980 is a wasteful number, since it uses less digits than its factorization.

3412980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3412980 is about 1847.4252352937. The cubic root of 3412980 is about 150.5605691386.

It can be divided in two parts, 341 and 2980, that added together give a triangular number (3321 = T₈₁).

The spelling of 3412980 in words is "three million, four hundred twelve thousand, nine hundred eighty".