3900990093 has 64 divisors (see below), whose sum is σ = 6998648832. Its totient is φ = 1866574080.

The previous prime is 3900990091. The next prime is 3900990101.

3900990093 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3900990093 - 2¹ = 3900990091 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3900990091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1761655 + ... + 1763867.

It is an arithmetic number, because the mean of its divisors is an integer number (109353888).

Almost surely, 2^3900990093 is an apocalyptic number.

3900990093 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3900990093 is a deficient number, since it is larger than the sum of its proper divisors (3097658739).

3900990093 is a wasteful number, since it uses less digits than its factorization.

3900990093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2834.

The product of its (nonzero) digits is 59049, while the sum is 42.

The square root of 3900990093 is about 62457.9065691446. The cubic root of 3900990093 is about 1574.1941076426.

The spelling of 3900990093 in words is "three billion, nine hundred million, nine hundred ninety thousand, ninety-three".