3682107090 has 192 divisors, whose sum is σ = 10685001600. Its totient is φ = 875750400.

The previous prime is 3682107089. The next prime is 3682107097. The reversal of 3682107090 is 907012863.

It is not an unprimeable number, because it can be changed into a prime (3682107097) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2032285 + ... + 2034095.

It is an arithmetic number, because the mean of its divisors is an integer number (55651050).

Almost surely, 2^3682107090 is an apocalyptic number.

3682107090 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 3682107090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5342500800).

3682107090 is an abundant number, since it is smaller than the sum of its proper divisors (7002894510).

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

3682107090 is a wasteful number, since it uses less digits than its factorization.

3682107090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 3682107090 is about 60680.3682421259. The cubic root of 3682107090 is about 1544.1831355991.

The spelling of 3682107090 in words is "three billion, six hundred eighty-two million, one hundred seven thousand, ninety".