3240142200 has 288 divisors, whose sum is σ = 12130138800. Its totient is φ = 770273280.

The previous prime is 3240142153. The next prime is 3240142211. The reversal of 3240142200 is 22410423.

3240142200 is a `hidden beast` number, since 3 + 240 + 1 + 422 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 578614 + ... + 584186.

Almost surely, 2^3240142200 is an apocalyptic number.

3240142200 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 3240142200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065069400).

3240142200 is an abundant number, since it is smaller than the sum of its proper divisors (8889996600).

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

3240142200 is a wasteful number, since it uses less digits than its factorization.

3240142200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5631 (or 5619 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3240142200 is about 56922.2469690015. The cubic root of 3240142200 is about 1479.7488921431.

Adding to 3240142200 its reverse (22410423), we get a palindrome (3262552623).

The spelling of 3240142200 in words is "three billion, two hundred forty million, one hundred forty-two thousand, two hundred".