3735640 has 32 divisors (see below), whose sum is σ = 8548560. Its totient is φ = 1468800.

The previous prime is 3735619. The next prime is 3735649. The reversal of 3735640 is 465373.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3735599 and 3735608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3735649) 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 7 ways as a sum of consecutive naturals, for example, 1675 + ... + 3205.

Almost surely, 2^3735640 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 3735640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274280).

3735640 is an abundant number, since it is smaller than the sum of its proper divisors (4812920).

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

3735640 is a wasteful number, since it uses less digits than its factorization.

3735640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 3735640 is about 1932.7803806951. The cubic root of 3735640 is about 155.1630611420.

The spelling of 3735640 in words is "three million, seven hundred thirty-five thousand, six hundred forty".