3243554400 has 144 divisors (see below), whose sum is σ = 10663098768. Its totient is φ = 856320000.

The previous prime is 3243554399. The next prime is 3243554407. The reversal of 3243554400 is 44553423.

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 (3243554407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235710 + ... + 249090.

It is an arithmetic number, because the mean of its divisors is an integer number (74049297).

Almost surely, 2^3243554400 is an apocalyptic number.

3243554400 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 3243554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5331549384).

3243554400 is an abundant number, since it is smaller than the sum of its proper divisors (7419544368).

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

3243554400 is a wasteful number, since it uses less digits than its factorization.

3243554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13505 (or 13492 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The square root of 3243554400 is about 56952.2115461726. The cubic root of 3243554400 is about 1480.2681520453.

The spelling of 3243554400 in words is "three billion, two hundred forty-three million, five hundred fifty-four thousand, four hundred".