3432001200 has 120 divisors (see below), whose sum is σ = 11100979968. Its totient is φ = 906282240.

The previous prime is 3432001169. The next prime is 3432001211. The reversal of 3432001200 is 21002343.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3432001200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109717 + ... + 137483.

Almost surely, 2^3432001200 is an apocalyptic number.

3432001200 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 3432001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5550489984).

3432001200 is an abundant number, since it is smaller than the sum of its proper divisors (7668978768).

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

3432001200 is a wasteful number, since it uses less digits than its factorization.

3432001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27891 (or 27880 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 3432001200 is about 58583.2843053375. The cubic root of 3432001200 is about 1508.3975222387.

Adding to 3432001200 its reverse (21002343), we get a palindrome (3453003543).

The spelling of 3432001200 in words is "three billion, four hundred thirty-two million, one thousand, two hundred".