3299813640 has 192 divisors, whose sum is σ = 11185574400. Its totient is φ = 874893312.

The previous prime is 3299813639. The next prime is 3299813641. The reversal of 3299813640 is 463189923.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3299813639) and next prime (3299813641).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3299813641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1875081 + ... + 1876839.

It is an arithmetic number, because the mean of its divisors is an integer number (58258200).

Almost surely, 2^3299813640 is an apocalyptic number.

3299813640 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 3299813640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5592787200).

3299813640 is an abundant number, since it is smaller than the sum of its proper divisors (7885760760).

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

3299813640 is a wasteful number, since it uses less digits than its factorization.

3299813640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1978 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 3299813640 is about 57444.0043868810. The cubic root of 3299813640 is about 1488.7775267896. Note that the first 3 decimals are identical.

The spelling of 3299813640 in words is "three billion, two hundred ninety-nine million, eight hundred thirteen thousand, six hundred forty".