3252826400 has 36 divisors (see below), whose sum is σ = 7940964402. Its totient is φ = 1301130240.

The previous prime is 3252826397. The next prime is 3252826411. The reversal of 3252826400 is 46282523.

It can be written as a sum of positive squares in 3 ways, for example, as 2972866576 + 279959824 = 54524^2 + 16732^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2032217 + ... + 2033816.

Almost surely, 2^3252826400 is an apocalyptic number.

It is an amenable number.

3252826400 is an abundant number, since it is smaller than the sum of its proper divisors (4688138002).

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

3252826400 is a wasteful number, since it uses less digits than its factorization.

3252826400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4066053 (or 4066040 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The square root of 3252826400 is about 57033.5550356104. Note that the first 3 decimals coincide. The cubic root of 3252826400 is about 1481.6773046025.

The spelling of 3252826400 in words is "three billion, two hundred fifty-two million, eight hundred twenty-six thousand, four hundred".