3528779904 has 224 divisors, whose sum is σ = 11354849100. Its totient is φ = 1085405184.

The previous prime is 3528779893. The next prime is 3528779939. The reversal of 3528779904 is 4099778253.

It can be written as a sum of positive squares in 2 ways, for example, as 3528360000 + 419904 = 59400^2 + 648^2 .

It is a super-2 number, since 2×3528779904² = 24904575221748498432, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1211602 + ... + 1214510.

Almost surely, 2^3528779904 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 3528779904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5677424550).

3528779904 is an abundant number, since it is smaller than the sum of its proper divisors (7826069196).

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

3528779904 is an equidigital number, since it uses as much as digits as its factorization.

3528779904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 2927 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 3528779904 is about 59403.5344403008. The cubic root of 3528779904 is about 1522.4446901696. Note that the first 3 decimals are identical.

The spelling of 3528779904 in words is "three billion, five hundred twenty-eight million, seven hundred seventy-nine thousand, nine hundred four".