3339677952 has 270 divisors, whose sum is σ = 10794579642. Its totient is φ = 1026514944.

The previous prime is 3339677941. The next prime is 3339677953. The reversal of 3339677952 is 2597769333.

It can be written as a sum of positive squares in 3 ways, for example, as 5308416 + 3334369536 = 2304^2 + 57744^2 .

It is a super-2 number, since 2×3339677952² = 22306897646149828608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3339677953) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 3503908 + ... + 3504860.

Almost surely, 2^3339677952 is an apocalyptic number.

3339677952 is a gapful number since it is divisible by the number (32) 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 3339677952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397289821).

3339677952 is an abundant number, since it is smaller than the sum of its proper divisors (7454901690).

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

3339677952 is an equidigital number, since it uses as much as digits as its factorization.

3339677952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 971 counting only the distinct ones).

The product of its digits is 6429780, while the sum is 54.

The square root of 3339677952 is about 57789.9468073816. The cubic root of 3339677952 is about 1494.7487416434.

The spelling of 3339677952 in words is "three billion, three hundred thirty-nine million, six hundred seventy-seven thousand, nine hundred fifty-two".