3906638190 has 288 divisors, whose sum is σ = 12893471136. Its totient is φ = 813335040.

The previous prime is 3906638171. The next prime is 3906638201. The reversal of 3906638190 is 918366093.

3906638190 is a `hidden beast` number, since 3 + 9 + 0 + 6 + 638 + 1 + 9 + 0 = 666.

It is a super-2 number, since 2×3906638190² = 30523643895132952200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 4757980 + ... + 4758800.

It is an arithmetic number, because the mean of its divisors is an integer number (44768997).

Almost surely, 2^3906638190 is an apocalyptic number.

3906638190 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3906638190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6446735568).

3906638190 is an abundant number, since it is smaller than the sum of its proper divisors (8986832946).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3906638190 is a wasteful number, since it uses less digits than its factorization.

3906638190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 3906638190 is about 62503.1054428498. The cubic root of 3906638190 is about 1574.9534801075.

The spelling of 3906638190 in words is "three billion, nine hundred six million, six hundred thirty-eight thousand, one hundred ninety".