3253140000 has 720 divisors, whose sum is σ = 13263554304. Its totient is φ = 748800000.

The previous prime is 3253139993. The next prime is 3253140001. The reversal of 3253140000 is 413523.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3253140001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 61379974 + ... + 61380026.

Almost surely, 2^3253140000 is an apocalyptic number.

3253140000 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 3253140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6631777152).

3253140000 is an abundant number, since it is smaller than the sum of its proper divisors (10010414304).

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

3253140000 is a wasteful number, since it uses less digits than its factorization.

3253140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 3253140000 is about 57036.3042280967. The cubic root of 3253140000 is about 1481.7249184839.

Adding to 3253140000 its reverse (413523), we get a palindrome (3253553523).

The spelling of 3253140000 in words is "three billion, two hundred fifty-three million, one hundred forty thousand".