3528726768 has 300 divisors, whose sum is σ = 11985165192. Its totient is φ = 999371520.

The previous prime is 3528726763. The next prime is 3528726781. The reversal of 3528726768 is 8676278253.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3528726763) 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 59 ways as a sum of consecutive naturals, for example, 11494071 + ... + 11494377.

Almost surely, 2^3528726768 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 3528726768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5992582596).

3528726768 is an abundant number, since it is smaller than the sum of its proper divisors (8456438424).

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

3528726768 is a wasteful number, since it uses less digits than its factorization.

3528726768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 500 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The square root of 3528726768 is about 59403.0871925020. The cubic root of 3528726768 is about 1522.4370485268.

The spelling of 3528726768 in words is "three billion, five hundred twenty-eight million, seven hundred twenty-six thousand, seven hundred sixty-eight".