3252158400 has 84 divisors (see below), whose sum is σ = 10669805432. Its totient is φ = 867240960.

The previous prime is 3252158381. The next prime is 3252158407. The reversal of 3252158400 is 48512523.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3252158407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 333967 + ... + 343566.

Almost surely, 2^3252158400 is an apocalyptic number.

3252158400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3252158400 is an abundant number, since it is smaller than the sum of its proper divisors (7417647032).

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

3252158400 is a wasteful number, since it uses less digits than its factorization.

3252158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677558 (or 677543 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 3252158400 is about 57027.6985332566. The cubic root of 3252158400 is about 1481.5758719736.

The spelling of 3252158400 in words is "three billion, two hundred fifty-two million, one hundred fifty-eight thousand, four hundred".