3861408 has 96 divisors (see below), whose sum is σ = 11188800. Its totient is φ = 1161216.

The previous prime is 3861383. The next prime is 3861413. The reversal of 3861408 is 8041683.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52860 + ... + 52932.

It is an arithmetic number, because the mean of its divisors is an integer number (116550).

Almost surely, 2^3861408 is an apocalyptic number.

3861408 is a gapful number since it is divisible by the number (38) 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 3861408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5594400).

3861408 is an abundant number, since it is smaller than the sum of its proper divisors (7327392).

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

3861408 is a wasteful number, since it uses less digits than its factorization.

3861408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 3861408 is about 1965.0465643338. The cubic root of 3861408 is about 156.8851716922.

The spelling of 3861408 in words is "three million, eight hundred sixty-one thousand, four hundred eight".