3948363728401 has 3 divisors (see below), whose sum is σ = 3948365715451. Its totient is φ = 3948361741352.

The previous prime is 3948363728369. The next prime is 3948363728431. The reversal of 3948363728401 is 1048273638493.

The square root of 3948363728401 is 1987049.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 1099559862801 + 2848803865600 = 1048599^2 + 1687840^2 .

It is not a de Polignac number, because 3948363728401 - 2⁵ = 3948363728369 is a prime.

It is a super-2 number, since 2×3948363728401² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3948363728431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 993525 + ... + 2980573.

Almost surely, 2^{3948363728401} is an apocalyptic number.

3948363728401 is the 1987049-th square number.

3948363728401 is the 993525-th centered octagonal number.

It is an amenable number.

3948363728401 is a deficient number, since it is larger than the sum of its proper divisors (1987050).

3948363728401 is an frugal number, since it uses more digits than its factorization.

3948363728401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3974098 (or 1987049 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 58.

It can be divided in two parts, 3948363 and 728401, that added together give a palindrome (4676764).

The spelling of 3948363728401 in words is "three trillion, nine hundred forty-eight billion, three hundred sixty-three million, seven hundred twenty-eight thousand, four hundred one".