3412920 has 128 divisors (see below), whose sum is σ = 12441600. Its totient is φ = 731136.

The previous prime is 3412909. The next prime is 3412921. The reversal of 3412920 is 292143.

3412920 = T₄₂₄ + T₄₂₅ + ... + T₄₅₈.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3412921) 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, 14161 + ... + 14399.

It is an arithmetic number, because the mean of its divisors is an integer number (97200).

Almost surely, 2^3412920 is an apocalyptic number.

3412920 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 3412920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6220800).

3412920 is an abundant number, since it is smaller than the sum of its proper divisors (9028680).

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

3412920 is a wasteful number, since it uses less digits than its factorization.

3412920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 3412920 is about 1847.4089964055. The cubic root of 3412920 is about 150.5596868513.

The spelling of 3412920 in words is "three million, four hundred twelve thousand, nine hundred twenty".