3456540 has 96 divisors (see below), whose sum is σ = 11108160. Its totient is φ = 891648.

The previous prime is 3456533. The next prime is 3456547. The reversal of 3456540 is 456543.

3456540 is a `hidden beast` number, since 3 + 4 + 5 + 654 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3456533) and next prime (3456547).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3456547) 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, 19894 + ... + 20066.

It is an arithmetic number, because the mean of its divisors is an integer number (115710).

Almost surely, 2^3456540 is an apocalyptic number.

3456540 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 3456540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5554080).

3456540 is an abundant number, since it is smaller than the sum of its proper divisors (7651620).

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

3456540 is a wasteful number, since it uses less digits than its factorization.

3456540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3456540 is about 1859.1772373822. The cubic root of 3456540 is about 151.1984000839.

The spelling of 3456540 in words is "three million, four hundred fifty-six thousand, five hundred forty".