3806390880 has 288 divisors, whose sum is σ = 13763602944. Its totient is φ = 992964096.

The previous prime is 3806390879. The next prime is 3806390909. The reversal of 3806390880 is 880936083.

3806390880 is a `hidden beast` number, since 3 + 8 + 0 + 639 + 0 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3806390880² = 28977223062694348800, 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1826319 + ... + 1828401.

It is an arithmetic number, because the mean of its divisors is an integer number (47790288).

Almost surely, 2^3806390880 is an apocalyptic number.

3806390880 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 3806390880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6881801472).

3806390880 is an abundant number, since it is smaller than the sum of its proper divisors (9957212064).

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

3806390880 is a wasteful number, since it uses less digits than its factorization.

3806390880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2160 (or 2140 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3806390880 is about 61695.9551348385. The cubic root of 3806390880 is about 1561.3650773306.

The spelling of 3806390880 in words is "three billion, eight hundred six million, three hundred ninety thousand, eight hundred eighty".