3528213749316 has 135 divisors (see below), whose sum is σ = 9283317460263. Its totient is φ = 1168486456320.

The previous prime is 3528213749309. The next prime is 3528213749351. The reversal of 3528213749316 is 6139473128253.

The square root of 3528213749316 is 1878354.

It is a perfect power (a square), and thus also a powerful number.

3528213749316 is a `hidden beast` number, since 3 + 5 + 2 + 8 + 2 + 137 + 493 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 112754924100 + 3415458825216 = 335790^2 + 1848096^2 .

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 44 ways as a sum of consecutive naturals, for example, 8148299436 + ... + 8148299868.

Almost surely, 2^{3528213749316} is an apocalyptic number.

3528213749316 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3528213749316 is the 1878354-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3528213749316

3528213749316 is an abundant number, since it is smaller than the sum of its proper divisors (5755103710947).

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

3528213749316 is an frugal number, since it uses more digits than its factorization.

3528213749316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 679 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 3528213749316 in words is "three trillion, five hundred twenty-eight billion, two hundred thirteen million, seven hundred forty-nine thousand, three hundred sixteen".