3735004 has 48 divisors (see below), whose sum is σ = 8329216. Its totient is φ = 1425600.

The previous prime is 3734999. The next prime is 3735007. The reversal of 3735004 is 4005373.

It is a super-3 number, since 3×3735004³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3735007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11119 + ... + 11449.

Almost surely, 2^3735004 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 3735004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164608).

3735004 is an abundant number, since it is smaller than the sum of its proper divisors (4594212).

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

3735004 is a wasteful number, since it uses less digits than its factorization.

3735004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 22.

The square root of 3735004 is about 1932.6158438759. The cubic root of 3735004 is about 155.1542550376.

The spelling of 3735004 in words is "three million, seven hundred thirty-five thousand, four".