3299871960 has 384 divisors, whose sum is σ = 13869273600. Its totient is φ = 685532160.

The previous prime is 3299871937. The next prime is 3299871961. The reversal of 3299871960 is 691789923.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3299871897 and 3299871906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3299871961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 746236 + ... + 750644.

It is an arithmetic number, because the mean of its divisors is an integer number (36117900).

Almost surely, 2^3299871960 is an apocalyptic number.

3299871960 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 3299871960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6934636800).

3299871960 is an abundant number, since it is smaller than the sum of its proper divisors (10569401640).

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

3299871960 is a wasteful number, since it uses less digits than its factorization.

3299871960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4453 (or 4437 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 3299871960 is about 57444.5120094165. The cubic root of 3299871960 is about 1488.7862974863.

The spelling of 3299871960 in words is "three billion, two hundred ninety-nine million, eight hundred seventy-one thousand, nine hundred sixty".