3806948880 has 240 divisors, whose sum is σ = 14657335680. Its totient is φ = 867428352.

The previous prime is 3806948843. The next prime is 3806948897. The reversal of 3806948880 is 888496083.

3806948880 is a `hidden beast` number, since 3 + 80 + 6 + 9 + 488 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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, 1909164 + ... + 1911156.

It is an arithmetic number, because the mean of its divisors is an integer number (61072232).

Almost surely, 2^3806948880 is an apocalyptic number.

3806948880 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 3806948880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7328667840).

3806948880 is an abundant number, since it is smaller than the sum of its proper divisors (10850386800).

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

3806948880 is a wasteful number, since it uses less digits than its factorization.

3806948880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2398 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 3806948880 is about 61700.4771456429. The cubic root of 3806948880 is about 1561.4413699983.

The spelling of 3806948880 in words is "three billion, eight hundred six million, nine hundred forty-eight thousand, eight hundred eighty".