3735408 has 40 divisors (see below), whose sum is σ = 9820800. Its totient is φ = 1223104.

The previous prime is 3735401. The next prime is 3735439. The reversal of 3735408 is 8045373.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3735401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2173 + ... + 3491.

It is an arithmetic number, because the mean of its divisors is an integer number (245520).

Almost surely, 2^3735408 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 3735408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4910400).

3735408 is an abundant number, since it is smaller than the sum of its proper divisors (6085392).

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

3735408 is a wasteful number, since it uses less digits than its factorization.

3735408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1389 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 3735408 is about 1932.7203625978. The cubic root of 3735408 is about 155.1598489681.

The spelling of 3735408 in words is "three million, seven hundred thirty-five thousand, four hundred eight".