3882078149401 has 9 divisors (see below), whose sum is σ = 3902078219103. Its totient is φ = 3862180099800.

The previous prime is 3882078149387. The next prime is 3882078149407. The reversal of 3882078149401 is 1049418702883.

The square root of 3882078149401 is 1970299.

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., 3726826389001 + 155251760400 = 1930499^2 + 394020^2 .

It is a de Polignac number, because none of the positive numbers 2^k-3882078149401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3882078149407) 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, 392084551 + ... + 392094451.

It is an arithmetic number, because the mean of its divisors is an integer number (433564246567).

Almost surely, 2^{3882078149401} is an apocalyptic number.

3882078149401 is the 1970299-th square number.

3882078149401 is the 985150-th centered octagonal number and also the 881145-th centered decagonal number.

It is an amenable number.

3882078149401 is a deficient number, since it is larger than the sum of its proper divisors (20000069702).

3882078149401 is an frugal number, since it uses more digits than its factorization.

3882078149401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20200 (or 10100 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 55.

The spelling of 3882078149401 in words is "three trillion, eight hundred eighty-two billion, seventy-eight million, one hundred forty-nine thousand, four hundred one".