3226512400 has 120 divisors (see below), whose sum is σ = 8028486144. Its totient is φ = 1245312000.

The previous prime is 3226512371. The next prime is 3226512403. The reversal of 3226512400 is 42156223.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3226512403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1371225 + ... + 1373575.

Almost surely, 2^3226512400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3226512400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4014243072).

3226512400 is an abundant number, since it is smaller than the sum of its proper divisors (4801973744).

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

3226512400 is a wasteful number, since it uses less digits than its factorization.

3226512400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2478 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 3226512400 is about 56802.3978367111. The cubic root of 3226512400 is about 1477.6710998091.

Adding to 3226512400 its reverse (42156223), we get a palindrome (3268668623).

The spelling of 3226512400 in words is "three billion, two hundred twenty-six million, five hundred twelve thousand, four hundred".