3251330940 has 384 divisors, whose sum is σ = 11278310400. Its totient is φ = 688988160.

The previous prime is 3251330923. The next prime is 3251330941. The reversal of 3251330940 is 490331523.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3251330898 and 3251330907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3251330941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18163771 + ... + 18163949.

It is an arithmetic number, because the mean of its divisors is an integer number (29370600).

Almost surely, 2^3251330940 is an apocalyptic number.

3251330940 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 3251330940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5639155200).

3251330940 is an abundant number, since it is smaller than the sum of its proper divisors (8026979460).

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

3251330940 is a wasteful number, since it uses less digits than its factorization.

3251330940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 3251330940 is about 57020.4431761101. The cubic root of 3251330940 is about 1481.4502068399.

The spelling of 3251330940 in words is "three billion, two hundred fifty-one million, three hundred thirty thousand, nine hundred forty".