3299693760 has 560 divisors, whose sum is σ = 13064654592. Its totient is φ = 783820800.

The previous prime is 3299693753. The next prime is 3299693773. The reversal of 3299693760 is 673969923.

It is a happy number.

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 = 3299693697 and 3299693706.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 20243439 + ... + 20243601.

Almost surely, 2^3299693760 is an apocalyptic number.

3299693760 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 3299693760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6532327296).

3299693760 is an abundant number, since it is smaller than the sum of its proper divisors (9764960832).

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

3299693760 is a wasteful number, since it uses less digits than its factorization.

3299693760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 54.

The square root of 3299693760 is about 57442.9609264704. The cubic root of 3299693760 is about 1488.7594978107.

It can be divided in two parts, 32996 and 93760, that added together give a triangular number (126756 = T₅₀₃).

The spelling of 3299693760 in words is "three billion, two hundred ninety-nine million, six hundred ninety-three thousand, seven hundred sixty".