3890890129 has 45 divisors (see below), whose sum is σ = 4863143817. Its totient is φ = 3112362792.

The previous prime is 3890890127. The next prime is 3890890153. The reversal of 3890890129 is 9210980983.

The square root of 3890890129 is 62377.

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

It is not a de Polignac number, because 3890890129 - 2¹ = 3890890127 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (3890890121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 58072954 + ... + 58073020.

Almost surely, 2^3890890129 is an apocalyptic number.

3890890129 is the 62377-th square number.

3890890129 is the 31189-th centered octagonal number.

It is an amenable number.

3890890129 is a deficient number, since it is larger than the sum of its proper divisors (972253688).

3890890129 is an frugal number, since it uses more digits than its factorization.

3890890129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 49.

The cubic root of 3890890129 is about 1572.8343635166.

Multiplying 3890890129 by its sum of digits (49), we get a square (190653616321 = 436639²).

3890890129 divided by its sum of digits (49) gives a square (79405921 = 8911²).

The spelling of 3890890129 in words is "three billion, eight hundred ninety million, eight hundred ninety thousand, one hundred twenty-nine".