3526803072 has 256 divisors, whose sum is σ = 11700460800. Its totient is φ = 1037684736.

The previous prime is 3526803053. The next prime is 3526803073. The reversal of 3526803072 is 2703086253.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3526803073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1031638 + ... + 1035050.

It is an arithmetic number, because the mean of its divisors is an integer number (45704925).

Almost surely, 2^3526803072 is an apocalyptic number.

3526803072 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 3526803072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5850230400).

3526803072 is an abundant number, since it is smaller than the sum of its proper divisors (8173657728).

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

3526803072 is a wasteful number, since it uses less digits than its factorization.

3526803072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3472 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3526803072 is about 59386.8930994037. The cubic root of 3526803072 is about 1522.1603445282.

The spelling of 3526803072 in words is "three billion, five hundred twenty-six million, eight hundred three thousand, seventy-two".