3346920 has 80 divisors (see below), whose sum is σ = 11260260. Its totient is φ = 891648.

The previous prime is 3346913. The next prime is 3346921. The reversal of 3346920 is 296433.

It can be written as a sum of positive squares in 2 ways, for example, as 3175524 + 171396 = 1782^2 + 414^2 .

It is a super-2 number, since 2×3346920² = 22403746972800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3346921) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2724 + ... + 3756.

Almost surely, 2^3346920 is an apocalyptic number.

3346920 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 3346920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5630130).

3346920 is an abundant number, since it is smaller than the sum of its proper divisors (7913340).

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

3346920 is a wasteful number, since it uses less digits than its factorization.

3346920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3346920 is about 1829.4589364072. The cubic root of 3346920 is about 149.5828409309.

It can be divided in two parts, 33469 and 20, that added together give a square (33489 = 183²).

The spelling of 3346920 in words is "three million, three hundred forty-six thousand, nine hundred twenty".