3806877120 has 112 divisors (see below), whose sum is σ = 12108423840. Its totient is φ = 1013354496.

The previous prime is 3806877103. The next prime is 3806877121. The reversal of 3806877120 is 217786083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3806877121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 585246 + ... + 591714.

Almost surely, 2^3806877120 is an apocalyptic number.

3806877120 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 3806877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6054211920).

3806877120 is an abundant number, since it is smaller than the sum of its proper divisors (8301546720).

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

3806877120 is a wasteful number, since it uses less digits than its factorization.

3806877120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7102 (or 7092 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 3806877120 is about 61699.8956238987. The cubic root of 3806877120 is about 1561.4315590149.

The spelling of 3806877120 in words is "three billion, eight hundred six million, eight hundred seventy-seven thousand, one hundred twenty".