3658106880 has 384 divisors, whose sum is σ = 13232419200. Its totient is φ = 958464000.

The previous prime is 3658106873. The next prime is 3658106887. The reversal of 3658106880 is 886018563.

3658106880 is a `hidden beast` number, since 3 + 6 + 581 + 0 + 68 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3658106873) and next prime (3658106887).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (3658106887) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27924415 + ... + 27924545.

It is an arithmetic number, because the mean of its divisors is an integer number (34459425).

Almost surely, 2^3658106880 is an apocalyptic number.

3658106880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3658106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6616209600).

3658106880 is an abundant number, since it is smaller than the sum of its proper divisors (9574312320).

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

3658106880 is a wasteful number, since it uses less digits than its factorization.

3658106880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 3658106880 is about 60482.2856710955. The cubic root of 3658106880 is about 1540.8207914431.

Subtracting from 3658106880 its product of nonzero digits (276480), we obtain a square (3657830400 = 60480²).

3658106880 divided by its product of nonzero digits (276480) gives a palindrome (13231).

The spelling of 3658106880 in words is "three billion, six hundred fifty-eight million, one hundred six thousand, eight hundred eighty".