3528354720 has 192 divisors, whose sum is σ = 12763215360. Its totient is φ = 810316800.

The previous prime is 3528354679. The next prime is 3528354749. The reversal of 3528354720 is 274538253.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82735 + ... + 117905.

It is an arithmetic number, because the mean of its divisors is an integer number (66475080).

Almost surely, 2^3528354720 is an apocalyptic number.

3528354720 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 3528354720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6381607680).

3528354720 is an abundant number, since it is smaller than the sum of its proper divisors (9234860640).

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

3528354720 is a wasteful number, since it uses less digits than its factorization.

3528354720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35219 (or 35211 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 3528354720 is about 59399.9555555389. The cubic root of 3528354720 is about 1522.3835410717.

The spelling of 3528354720 in words is "three billion, five hundred twenty-eight million, three hundred fifty-four thousand, seven hundred twenty".