3460920 has 64 divisors (see below), whose sum is σ = 10506240. Its totient is φ = 912000.

The previous prime is 3460883. The next prime is 3460921. The reversal of 3460920 is 290643.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3460921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18025 + ... + 18215.

It is an arithmetic number, because the mean of its divisors is an integer number (164160).

Almost surely, 2^3460920 is an apocalyptic number.

3460920 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 3460920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5253120).

3460920 is an abundant number, since it is smaller than the sum of its proper divisors (7045320).

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

3460920 is a wasteful number, since it uses less digits than its factorization.

3460920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 352 counting only the distinct ones).

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

The square root of 3460920 is about 1860.3548048692. The cubic root of 3460920 is about 151.2622374726.

The spelling of 3460920 in words is "three million, four hundred sixty thousand, nine hundred twenty".