3234140400 has 240 divisors, whose sum is σ = 11106146304. Its totient is φ = 802391040.

The previous prime is 3234140339. The next prime is 3234140411. The reversal of 3234140400 is 40414323.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1019617 + ... + 1022783.

Almost surely, 2^3234140400 is an apocalyptic number.

3234140400 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 3234140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5553073152).

3234140400 is an abundant number, since it is smaller than the sum of its proper divisors (7872005904).

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

3234140400 is a wasteful number, since it uses less digits than its factorization.

3234140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248 (or 3237 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 3234140400 is about 56869.5032508637. The cubic root of 3234140400 is about 1478.8346682602.

Adding to 3234140400 its reverse (40414323), we get a palindrome (3274554723).

The spelling of 3234140400 in words is "three billion, two hundred thirty-four million, one hundred forty thousand, four hundred".