3456840 has 32 divisors (see below), whose sum is σ = 10370880. Its totient is φ = 921792.

The previous prime is 3456821. The next prime is 3456847. The reversal of 3456840 is 486543.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 3⁷ + 4⁹ + 5³ + 6⁶ + 8⁷ + 4¹⁰ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 3456798 and 3456807.

It is not an unprimeable number, because it can be changed into a prime (3456847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14284 + ... + 14523.

It is an arithmetic number, because the mean of its divisors is an integer number (324090).

Almost surely, 2^3456840 is an apocalyptic number.

3456840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3456840 is an abundant number, since it is smaller than the sum of its proper divisors (6914040).

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

3456840 is a wasteful number, since it uses less digits than its factorization.

3456840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28821 (or 28817 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3456840 is about 1859.2579164817. The cubic root of 3456840 is about 151.2027742275.

The spelling of 3456840 in words is "three million, four hundred fifty-six thousand, eight hundred forty".