3299761920 has 864 divisors, whose sum is σ = 14092807680. Its totient is φ = 650280960.

The previous prime is 3299761909. The next prime is 3299761943. The reversal of 3299761920 is 291679923.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3299761920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46475485 + ... + 46475555.

It is an arithmetic number, because the mean of its divisors is an integer number (16311120).

Almost surely, 2^3299761920 is an apocalyptic number.

3299761920 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 3299761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7046403840).

3299761920 is an abundant number, since it is smaller than the sum of its proper divisors (10793045760).

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

3299761920 is a wasteful number, since it uses less digits than its factorization.

3299761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 48.

The square root of 3299761920 is about 57443.5542075871. The cubic root of 3299761920 is about 1488.7697485750.

The spelling of 3299761920 in words is "three billion, two hundred ninety-nine million, seven hundred sixty-one thousand, nine hundred twenty".