3215252400 has 120 divisors (see below), whose sum is σ = 10338576384. Its totient is φ = 854150400.

The previous prime is 3215252357. The next prime is 3215252401. The reversal of 3215252400 is 42525123.

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 (24).

It is not an unprimeable number, because it can be changed into a prime (3215252401) 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 23 ways as a sum of consecutive naturals, for example, 320257 + ... + 330143.

Almost surely, 2^3215252400 is an apocalyptic number.

3215252400 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 3215252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5169288192).

3215252400 is an abundant number, since it is smaller than the sum of its proper divisors (7123323984).

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

3215252400 is a wasteful number, since it uses less digits than its factorization.

3215252400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10179 (or 10168 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 3215252400 is about 56703.1956771397. The cubic root of 3215252400 is about 1475.9501529130.

Adding to 3215252400 its reverse (42525123), we get a palindrome (3257777523).

The spelling of 3215252400 in words is "three billion, two hundred fifteen million, two hundred fifty-two thousand, four hundred".