3328788060 has 288 divisors, whose sum is σ = 11354703360. Its totient is φ = 783820800.

The previous prime is 3328788059. The next prime is 3328788061. The reversal of 3328788060 is 608878233.

It is an interprime number because it is at equal distance from previous prime (3328788059) and next prime (3328788061).

It is a super-2 number, since 2×3328788060² = 22161659896797127200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3328787997 and 3328788015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3328788061) 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, 7906650 + ... + 7907070.

Almost surely, 2^3328788060 is an apocalyptic number.

3328788060 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 3328788060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5677351680).

3328788060 is an abundant number, since it is smaller than the sum of its proper divisors (8025915300).

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

3328788060 is a wasteful number, since it uses less digits than its factorization.

3328788060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3328788060 is about 57695.6502693227. The cubic root of 3328788060 is about 1493.1222996900.

The spelling of 3328788060 in words is "three billion, three hundred twenty-eight million, seven hundred eighty-eight thousand, sixty".