3456720 has 60 divisors (see below), whose sum is σ = 11611236. Its totient is φ = 921600.

The previous prime is 3456703. The next prime is 3456721. The reversal of 3456720 is 276543.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1617984 + 1838736 = 1272^2 + 1356^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3456721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1681 + ... + 3120.

Almost surely, 2^3456720 is an apocalyptic number.

3456720 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3456720 is an abundant number, since it is smaller than the sum of its proper divisors (8154516).

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

3456720 is a wasteful number, since it uses less digits than its factorization.

3456720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4820 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3456720 is about 1859.2256452620. The cubic root of 3456720 is about 151.2010246004.

The spelling of 3456720 in words is "three million, four hundred fifty-six thousand, seven hundred twenty".