3456864 has 48 divisors (see below), whose sum is σ = 10085040. Its totient is φ = 1152000.

The previous prime is 3456863. The next prime is 3456881. The reversal of 3456864 is 4686543.

3456864 is a `hidden beast` number, since 34 + 568 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3456863) 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, 1137 + ... + 2864.

It is an arithmetic number, because the mean of its divisors is an integer number (210105).

Almost surely, 2^3456864 is an apocalyptic number.

It is an amenable number.

3456864 is an abundant number, since it is smaller than the sum of its proper divisors (6628176).

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

3456864 is a wasteful number, since it uses less digits than its factorization.

3456864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4020 (or 4006 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 3456864 is about 1859.2643706585. The cubic root of 3456864 is about 151.2031241481.

It can be divided in two parts, 3456 and 864, that multiplied together give a 6-th power (2985984 = 12⁶).

The spelling of 3456864 in words is "three million, four hundred fifty-six thousand, eight hundred sixty-four".