3735424 has 64 divisors (see below), whose sum is σ = 9302400. Its totient is φ = 1451520.

The previous prime is 3735401. The next prime is 3735439. The reversal of 3735424 is 4245373.

3735424 is nontrivially palindromic in base 15.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 3735392 and 3735401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9667 + ... + 10045.

It is an arithmetic number, because the mean of its divisors is an integer number (145350).

Almost surely, 2^3735424 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 3735424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4651200).

3735424 is an abundant number, since it is smaller than the sum of its proper divisors (5566976).

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

3735424 is a wasteful number, since it uses less digits than its factorization.

3735424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 399 counting only the distinct ones).

The product of its digits is 10080, while the sum is 28.

The square root of 3735424 is about 1932.7245018367. The cubic root of 3735424 is about 155.1600705016.

The spelling of 3735424 in words is "three million, seven hundred thirty-five thousand, four hundred twenty-four".