3405888 has 98 divisors (see below), whose sum is σ = 10272014. Its totient is φ = 1119744.

The previous prime is 3405881. The next prime is 3405889. The reversal of 3405888 is 8885043.

It can be written as a sum of positive squares in only one way, i.e., 2985984 + 419904 = 1728^2 + 648^2 .

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

It is not an unprimeable number, because it can be changed into a prime (3405881) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 46620 + ... + 46692.

Almost surely, 2^3405888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3405888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5136007).

3405888 is an abundant number, since it is smaller than the sum of its proper divisors (6866126).

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

3405888 is an frugal number, since it uses more digits than its factorization.

3405888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 3405888 is about 1845.5048089886. The cubic root of 3405888 is about 150.4562110697.

The spelling of 3405888 in words is "three million, four hundred five thousand, eight hundred eighty-eight".