3675319824 has 240 divisors, whose sum is σ = 10924300800. Its totient is φ = 1062758400.

The previous prime is 3675319783. The next prime is 3675319841. The reversal of 3675319824 is 4289135763.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24666502 + ... + 24666650.

It is an arithmetic number, because the mean of its divisors is an integer number (45517920).

Almost surely, 2^3675319824 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 3675319824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5462150400).

3675319824 is an abundant number, since it is smaller than the sum of its proper divisors (7248980976).

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

3675319824 is a wasteful number, since it uses less digits than its factorization.

3675319824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 333 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 3675319824 is about 60624.4160714147. The cubic root of 3675319824 is about 1543.2337491185.

The spelling of 3675319824 in words is "three billion, six hundred seventy-five million, three hundred nineteen thousand, eight hundred twenty-four".