3735225024 has 112 divisors (see below), whose sum is σ = 10361444352. Its totient is φ = 1185288192.

The previous prime is 3735225007. The next prime is 3735225037. The reversal of 3735225024 is 4205225373.

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 15 ways as a sum of consecutive naturals, for example, 982872 + ... + 986664.

It is an arithmetic number, because the mean of its divisors is an integer number (92512896).

Almost surely, 2^3735225024 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 3735225024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5180722176).

3735225024 is an abundant number, since it is smaller than the sum of its proper divisors (6626219328).

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

3735225024 is a wasteful number, since it uses less digits than its factorization.

3735225024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054 (or 4044 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 33.

The square root of 3735225024 is about 61116.4873336156. The cubic root of 3735225024 is about 1551.5731546603.

The spelling of 3735225024 in words is "three billion, seven hundred thirty-five million, two hundred twenty-five thousand, twenty-four".