3948828711556 has 27 divisors (see below), whose sum is σ = 6999588104229. Its totient is φ = 1949266770048.

The previous prime is 3948828711551. The next prime is 3948828711617. The reversal of 3948828711556 is 6551178288493.

The square root of 3948828711556 is 1987166.

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

It can be written as a sum of positive squares in only one way, i.e., 3633865312900 + 314963398656 = 1906270^2 + 561216^2 .

It is a super-2 number, since 2×3948828711556² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3948828711491 and 3948828711500.

It is not an unprimeable number, because it can be changed into a prime (3948828711551) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 313965940 + ... + 313978516.

Almost surely, 2^{3948828711556} is an apocalyptic number.

3948828711556 is the 1987166-th square number.

It is an amenable number.

3948828711556 is a deficient number, since it is larger than the sum of its proper divisors (3050759392673).

3948828711556 is an frugal number, since it uses more digits than its factorization.

3948828711556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25316 (or 12658 counting only the distinct ones).

The product of its digits is 116121600, while the sum is 67.

It can be divided in two parts, 39488 and 28711556, that added together give a square (28751044 = 5362²).

The spelling of 3948828711556 in words is "three trillion, nine hundred forty-eight billion, eight hundred twenty-eight million, seven hundred eleven thousand, five hundred fifty-six".