3299409360 has 480 divisors, whose sum is σ = 12557196288. Its totient is φ = 770826240.

The previous prime is 3299409341. The next prime is 3299409367. The reversal of 3299409360 is 639049923.

3299409360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3299409360² = 21772204249711219200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3299409367) 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, 24083212 + ... + 24083348.

Almost surely, 2^3299409360 is an apocalyptic number.

3299409360 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 3299409360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6278598144).

3299409360 is an abundant number, since it is smaller than the sum of its proper divisors (9257786928).

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

3299409360 is a wasteful number, since it uses less digits than its factorization.

3299409360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 3299409360 is about 57440.4853739938. The cubic root of 3299409360 is about 1488.7167246125.

The spelling of 3299409360 in words is "three billion, two hundred ninety-nine million, four hundred nine thousand, three hundred sixty".