3328639488 has 480 divisors, whose sum is σ = 11225174400. Its totient is φ = 970776576.

The previous prime is 3328639471. The next prime is 3328639519. The reversal of 3328639488 is 8849368233.

It is a happy number.

It is a super-2 number, since 2×3328639488² = 22159681682145804288, which contains 22 as substring.

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

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

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, 114780658 + ... + 114780686.

It is an arithmetic number, because the mean of its divisors is an integer number (23385780).

Almost surely, 2^3328639488 is an apocalyptic number.

3328639488 is a gapful number since it is divisible by the number (38) 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 3328639488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5612587200).

3328639488 is an abundant number, since it is smaller than the sum of its proper divisors (7896534912).

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

3328639488 is a wasteful number, since it uses less digits than its factorization.

3328639488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 76 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The square root of 3328639488 is about 57694.3627055538. The cubic root of 3328639488 is about 1493.1000854523.

The spelling of 3328639488 in words is "three billion, three hundred twenty-eight million, six hundred thirty-nine thousand, four hundred eighty-eight".