3705730938 has 144 divisors (see below), whose sum is σ = 10374255360. Its totient is φ = 977217696.

The previous prime is 3705730937. The next prime is 3705730961. The reversal of 3705730938 is 8390375073.

3705730938 is a `hidden beast` number, since 3 + 70 + 573 + 0 + 9 + 3 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3705730893 and 3705730902.

It is not an unprimeable number, because it can be changed into a prime (3705730937) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 443031 + ... + 451317.

It is an arithmetic number, because the mean of its divisors is an integer number (72043440).

Almost surely, 2^3705730938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3705730938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5187127680).

3705730938 is an abundant number, since it is smaller than the sum of its proper divisors (6668524422).

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

3705730938 is a wasteful number, since it uses less digits than its factorization.

3705730938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8338 (or 8312 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 3705730938 is about 60874.7150958425. The cubic root of 3705730938 is about 1547.4785140251.

The spelling of 3705730938 in words is "three billion, seven hundred five million, seven hundred thirty thousand, nine hundred thirty-eight".