3320002296 has 192 divisors, whose sum is σ = 10094572800. Its totient is φ = 1010475648.

The previous prime is 3320002289. The next prime is 3320002303. The reversal of 3320002296 is 6922000233.

It is an interprime number because it is at equal distance from previous prime (3320002289) and next prime (3320002303).

It is a super-3 number, since 3×3320002296³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3759471 + ... + 3760353.

It is an arithmetic number, because the mean of its divisors is an integer number (52575900).

Almost surely, 2^3320002296 is an apocalyptic number.

3320002296 is a gapful number since it is divisible by the number (36) 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 3320002296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5047286400).

3320002296 is an abundant number, since it is smaller than the sum of its proper divisors (6774570504).

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

3320002296 is a wasteful number, since it uses less digits than its factorization.

3320002296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3320002296 is about 57619.4610873791. The cubic root of 3320002296 is about 1491.8075290728.

The spelling of 3320002296 in words is "three billion, three hundred twenty million, two thousand, two hundred ninety-six".