3415980 has 72 divisors (see below), whose sum is σ = 10212048. Its totient is φ = 852992.

The previous prime is 3415967. The next prime is 3415987. The reversal of 3415980 is 895143.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3415987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17242 + ... + 17438.

It is an arithmetic number, because the mean of its divisors is an integer number (141834).

Almost surely, 2^3415980 is an apocalyptic number.

3415980 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 3415980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5106024).

3415980 is an abundant number, since it is smaller than the sum of its proper divisors (6796068).

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

3415980 is a wasteful number, since it uses less digits than its factorization.

3415980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 3415980 is about 1848.2369977901. The cubic root of 3415980 is about 150.6046703278.

The spelling of 3415980 in words is "three million, four hundred fifteen thousand, nine hundred eighty".