3432000 has 224 divisors, whose sum is σ = 13313664. Its totient is φ = 768000.

The previous prime is 3431999. The next prime is 3432001. The reversal of 3432000 is 2343.

It is an interprime number because it is at equal distance from previous prime (3431999) and next prime (3432001).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3432001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 263994 + ... + 264006.

It is an arithmetic number, because the mean of its divisors is an integer number (59436).

Almost surely, 2^3432000 is an apocalyptic number.

3432000 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 3432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6656832).

3432000 is an abundant number, since it is smaller than the sum of its proper divisors (9881664).

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

3432000 is a wasteful number, since it uses less digits than its factorization.

3432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 3432000 is about 1852.5657883055. The cubic root of 3432000 is about 150.8397346435.

Adding to 3432000 its reverse (2343), we get a palindrome (3434343).

The spelling of 3432000 in words is "three million, four hundred thirty-two thousand".