3456000 has 176 divisors, whose sum is σ = 12773280. Its totient is φ = 921600.

The previous prime is 3455999. The next prime is 3456001. The reversal of 3456000 is 6543.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (5!)³ ⋅ 2!.

It is an interprime number because it is at equal distance from previous prime (3455999) and next prime (3456001).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3456001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 691198 + ... + 691202.

Almost surely, 2^3456000 is an apocalyptic number.

3456000 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 3456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6386640).

3456000 is an abundant number, since it is smaller than the sum of its proper divisors (9317280).

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

3456000 is an equidigital number, since it uses as much as digits as its factorization.

3456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3456000 is about 1859.0320061796. The cubic root of 3456000 is about 151.1905259874.

The spelling of 3456000 in words is "three million, four hundred fifty-six thousand".