3339121968 has 400 divisors, whose sum is σ = 12421871616. Its totient is φ = 841674240.

The previous prime is 3339121967. The next prime is 3339121969. The reversal of 3339121968 is 8691219333.

It is an interprime number because it is at equal distance from previous prime (3339121967) and next prime (3339121969).

It is a super-2 number, since 2×3339121968² = 22299471034360386048, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3339121967) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2711913 + ... + 2713143.

Almost surely, 2^3339121968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3339121968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6210935808).

3339121968 is an abundant number, since it is smaller than the sum of its proper divisors (9082749648).

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

3339121968 is a wasteful number, since it uses less digits than its factorization.

3339121968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1279 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 3339121968 is about 57785.1362203119. The cubic root of 3339121968 is about 1494.6657892831.

The spelling of 3339121968 in words is "three billion, three hundred thirty-nine million, one hundred twenty-one thousand, nine hundred sixty-eight".