3890141641 has 9 divisors (see below), whose sum is σ = 3936782151. Its totient is φ = 3844049472.

The previous prime is 3890141599. The next prime is 3890141669. The reversal of 3890141641 is 1461410983.

The square root of 3890141641 is 62371.

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., 1746822025 + 2143319616 = 41795^2 + 46296^2 .

It is not a de Polignac number, because 3890141641 - 2⁷ = 3890141513 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3890141641.

It is not an unprimeable number, because it can be changed into a prime (3890141141) 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, 6049666 + ... + 6050308.

It is an arithmetic number, because the mean of its divisors is an integer number (437420239).

Almost surely, 2^3890141641 is an apocalyptic number.

3890141641 is the 62371-st square number.

3890141641 is the 31186-th centered octagonal number.

It is an amenable number.

3890141641 is a deficient number, since it is larger than the sum of its proper divisors (46640510).

3890141641 is an frugal number, since it uses more digits than its factorization.

3890141641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The cubic root of 3890141641 is about 1572.7335020080.

Multiplying 3890141641 by its product of nonzero digits (20736), we get a square (80665977067776 = 8981424²).

The spelling of 3890141641 in words is "three billion, eight hundred ninety million, one hundred forty-one thousand, six hundred forty-one".