3806781120 has 336 divisors, whose sum is σ = 13586594112. Its totient is φ = 977633280.

The previous prime is 3806781107. The next prime is 3806781163. The reversal of 3806781120 is 211876083.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12162084 + ... + 12162396.

It is an arithmetic number, because the mean of its divisors is an integer number (40436292).

Almost surely, 2^3806781120 is an apocalyptic number.

3806781120 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 3806781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793297056).

3806781120 is an abundant number, since it is smaller than the sum of its proper divisors (9779812992).

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

3806781120 is a wasteful number, since it uses less digits than its factorization.

3806781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 3806781120 is about 61699.1176598175. The cubic root of 3806781120 is about 1561.4184337607.

The spelling of 3806781120 in words is "three billion, eight hundred six million, seven hundred eighty-one thousand, one hundred twenty".