3735438 has 64 divisors (see below), whose sum is σ = 9338880. Its totient is φ = 972000.

The previous prime is 3735401. The next prime is 3735439. The reversal of 3735438 is 8345373.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 3735399 and 3735408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3735439) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24663 + ... + 24813.

It is an arithmetic number, because the mean of its divisors is an integer number (145920).

Almost surely, 2^3735438 is an apocalyptic number.

3735438 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3735438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4669440).

3735438 is an abundant number, since it is smaller than the sum of its proper divisors (5603442).

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

3735438 is a wasteful number, since it uses less digits than its factorization.

3735438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213.

The product of its digits is 30240, while the sum is 33.

The square root of 3735438 is about 1932.7281236635. The cubic root of 3735438 is about 155.1602643429.

The spelling of 3735438 in words is "three million, seven hundred thirty-five thousand, four hundred thirty-eight".