3299936640 has 1024 divisors, whose sum is σ = 15101614080. Its totient is φ = 589824000.

The previous prime is 3299936621. The next prime is 3299936641. The reversal of 3299936640 is 466399923.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3299936641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32672590 + ... + 32672690.

It is an arithmetic number, because the mean of its divisors is an integer number (14747670).

Almost surely, 2^3299936640 is an apocalyptic number.

3299936640 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 3299936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7550807040).

3299936640 is an abundant number, since it is smaller than the sum of its proper divisors (11801677440).

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

3299936640 is a wasteful number, since it uses less digits than its factorization.

3299936640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 51.

The square root of 3299936640 is about 57445.0749847191. The cubic root of 3299936640 is about 1488.7960245373.

It can be divided in two parts, 329993 and 6640, that added together give a palindrome (336633).

The spelling of 3299936640 in words is "three billion, two hundred ninety-nine million, nine hundred thirty-six thousand, six hundred forty".