3200113140 has 192 divisors, whose sum is σ = 10621255680. Its totient is φ = 704701440.

The previous prime is 3200113127. The next prime is 3200113151. The reversal of 3200113140 is 413110023.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1428141 + ... + 1430379.

It is an arithmetic number, because the mean of its divisors is an integer number (55319040).

Almost surely, 2^3200113140 is an apocalyptic number.

3200113140 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 3200113140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5310627840).

3200113140 is an abundant number, since it is smaller than the sum of its proper divisors (7421142540).

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

3200113140 is a wasteful number, since it uses less digits than its factorization.

3200113140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2382 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3200113140 is about 56569.5425118500. The cubic root of 3200113140 is about 1473.6299663900.

Adding to 3200113140 its reverse (413110023), we get a palindrome (3613223163).

The spelling of 3200113140 in words is "three billion, two hundred million, one hundred thirteen thousand, one hundred forty".