3456640 has 64 divisors (see below), whose sum is σ = 9033120. Its totient is φ = 1254400.

The previous prime is 3456637. The next prime is 3456653. The reversal of 3456640 is 466543.

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3456599 and 3456608.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6795 + ... + 7285.

Almost surely, 2^3456640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4516560).

3456640 is an abundant number, since it is smaller than the sum of its proper divisors (5576480).

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

3456640 is a wasteful number, since it uses less digits than its factorization.

3456640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 3456640 is about 1859.2041308044. The cubic root of 3456640 is about 151.1998581599.

It can be divided in two parts, 3456 and 640, that added together give a 12-th power (4096 = 2¹²).

The spelling of 3456640 in words is "three million, four hundred fifty-six thousand, six hundred forty".