3890415105 has 48 divisors (see below), whose sum is σ = 6985602000. Its totient is φ = 2000560128.

The previous prime is 3890415103. The next prime is 3890415107. The reversal of 3890415105 is 5015140983.

It is an interprime number because it is at equal distance from previous prime (3890415103) and next prime (3890415107).

It can be written as a sum of positive squares in 8 ways, for example, as 457275456 + 3433139649 = 21384^2 + 58593^2 .

It is not a de Polignac number, because 3890415105 - 2¹ = 3890415103 is a prime.

It is a super-2 number, since 2×3890415105² = 30270659378424322050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3890415105.

It is not an unprimeable number, because it can be changed into a prime (3890415103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1210741 + ... + 1213949.

It is an arithmetic number, because the mean of its divisors is an integer number (145533375).

Almost surely, 2^3890415105 is an apocalyptic number.

It is an amenable number.

3890415105 is a deficient number, since it is larger than the sum of its proper divisors (3095186895).

3890415105 is a wasteful number, since it uses less digits than its factorization.

3890415105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4178 (or 4175 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 3890415105 is about 62373.1921982513. The cubic root of 3890415105 is about 1572.7703537867.

The spelling of 3890415105 in words is "three billion, eight hundred ninety million, four hundred fifteen thousand, one hundred five".