3253142400 has 192 divisors, whose sum is σ = 10818593280. Its totient is φ = 859125760.

The previous prime is 3253142393. The next prime is 3253142401. The reversal of 3253142400 is 42413523.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3253142401) 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, 1025617 + ... + 1028783.

It is an arithmetic number, because the mean of its divisors is an integer number (56346840).

Almost surely, 2^3253142400 is an apocalyptic number.

3253142400 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 3253142400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5409296640).

3253142400 is an abundant number, since it is smaller than the sum of its proper divisors (7565450880).

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

3253142400 is a wasteful number, since it uses less digits than its factorization.

3253142400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3301 (or 3284 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3253142400 is about 57036.3252673242. The cubic root of 3253142400 is about 1481.7252828641.

Adding to 3253142400 its reverse (42413523), we get a palindrome (3295555923).

The spelling of 3253142400 in words is "three billion, two hundred fifty-three million, one hundred forty-two thousand, four hundred".