3268515888 has 300 divisors, whose sum is σ = 10955470680. Its totient is φ = 937474560.

The previous prime is 3268515881. The next prime is 3268515889. The reversal of 3268515888 is 8885158623.

It is a happy number.

3268515888 is a `hidden beast` number, since 3 + 2 + 6 + 8 + 51 + 588 + 8 = 666.

It is a super-2 number, since 2×3268515888² = 21366392220216857088, 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 (3268515881) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2978956 + ... + 2980052.

Almost surely, 2^3268515888 is an apocalyptic number.

3268515888 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 3268515888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5477735340).

3268515888 is an abundant number, since it is smaller than the sum of its proper divisors (7686954792).

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

3268515888 is a wasteful number, since it uses less digits than its factorization.

3268515888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1132 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 54.

The square root of 3268515888 is about 57170.9356928851. The cubic root of 3268515888 is about 1484.0556959454.

The spelling of 3268515888 in words is "three billion, two hundred sixty-eight million, five hundred fifteen thousand, eight hundred eighty-eight".