3406920 has 128 divisors (see below), whose sum is σ = 11664000. Its totient is φ = 788480.

The previous prime is 3406913. The next prime is 3406937. The reversal of 3406920 is 296043.

3406920 = T₂₃₁ + T₂₃₂ + ... + T₃₁₉.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38236 + ... + 38324.

It is an arithmetic number, because the mean of its divisors is an integer number (91125).

Almost surely, 2^3406920 is an apocalyptic number.

3406920 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 3406920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5832000).

3406920 is an abundant number, since it is smaller than the sum of its proper divisors (8257080).

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

3406920 is a wasteful number, since it uses less digits than its factorization.

3406920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 3406920 is about 1845.7843861080. The cubic root of 3406920 is about 150.4714058471.

It can be divided in two parts, 340 and 6920, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 3406920 in words is "three million, four hundred six thousand, nine hundred twenty".