3242400021 has 72 divisors (see below), whose sum is σ = 5925006360. Its totient is φ = 1696536576.

The previous prime is 3242399983. The next prime is 3242400037. The reversal of 3242400021 is 1200042423.

3242400021 is a `hidden beast` number, since 3 + 242 + 400 + 0 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2612640996 + 629759025 = 51114^2 + 25095^2 .

It is not a de Polignac number, because 3242400021 - 2⁷ = 3242399893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3242399967 and 3242400003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3242400061) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 271545 + ... + 283233.

It is an arithmetic number, because the mean of its divisors is an integer number (82291755).

Almost surely, 2^3242400021 is an apocalyptic number.

It is an amenable number.

3242400021 is a deficient number, since it is larger than the sum of its proper divisors (2682606339).

3242400021 is a wasteful number, since it uses less digits than its factorization.

3242400021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11763 (or 11753 counting only the distinct ones).

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

The square root of 3242400021 is about 56942.0760158953. The cubic root of 3242400021 is about 1480.0925223690.

Adding to 3242400021 its reverse (1200042423), we get a palindrome (4442442444).

The spelling of 3242400021 in words is "three billion, two hundred forty-two million, four hundred thousand, twenty-one".