3659405106 has 64 divisors (see below), whose sum is σ = 8655446016. Its totient is φ = 1009324800.

The previous prime is 3659405093. The next prime is 3659405119. The reversal of 3659405106 is 6015049563.

3659405106 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3659405093) and next prime (3659405119).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 560521 + ... + 567011.

It is an arithmetic number, because the mean of its divisors is an integer number (135241344).

Almost surely, 2^3659405106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3659405106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4327723008).

3659405106 is an abundant number, since it is smaller than the sum of its proper divisors (4996040910).

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

3659405106 is a wasteful number, since it uses less digits than its factorization.

3659405106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6967.

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 3659405106 is about 60493.0170019648. The cubic root of 3659405106 is about 1541.0030439116.

The spelling of 3659405106 in words is "three billion, six hundred fifty-nine million, four hundred five thousand, one hundred six".