3735368 has 48 divisors (see below), whose sum is σ = 8785980. Its totient is φ = 1475712.

The previous prime is 3735353. The next prime is 3735371. The reversal of 3735368 is 8635373.

It can be written as a sum of positive squares in 2 ways, for example, as 3678724 + 56644 = 1918^2 + 238^2 .

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4730 + ... + 5462.

Almost surely, 2^3735368 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 3735368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4392990).

3735368 is an abundant number, since it is smaller than the sum of its proper divisors (5050612).

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

3735368 is a wasteful number, since it uses less digits than its factorization.

3735368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 755 counting only the distinct ones).

The product of its digits is 45360, while the sum is 35.

The square root of 3735368 is about 1932.7100144616. The cubic root of 3735368 is about 155.1592951316.

The spelling of 3735368 in words is "three million, seven hundred thirty-five thousand, three hundred sixty-eight".