3705408 has 84 divisors (see below), whose sum is σ = 12151360. Its totient is φ = 1057536.

The previous prime is 3705391. The next prime is 3705409. The reversal of 3705408 is 8045073.

It is a tau number, because it is divible by the number of its divisors (84).

It is not an unprimeable number, because it can be changed into a prime (3705409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3573 + ... + 4491.

Almost surely, 2^3705408 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 3705408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6075680).

3705408 is an abundant number, since it is smaller than the sum of its proper divisors (8445952).

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

3705408 is a wasteful number, since it uses less digits than its factorization.

3705408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3705408 is about 1924.9436355385. The cubic root of 3705408 is about 154.7433560758.

It can be divided in two parts, 370 and 5408, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 3705408 in words is "three million, seven hundred five thousand, four hundred eight".