3705444540 has 144 divisors (see below), whose sum is σ = 12872391168. Its totient is φ = 845188992.

The previous prime is 3705444527. The next prime is 3705444557. The reversal of 3705444540 is 454445073.

3705444540 is a `hidden beast` number, since 3 + 70 + 5 + 4 + 44 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3705444495 and 3705444504.

It is a congruent number.

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, 656169 + ... + 661791.

Almost surely, 2^3705444540 is an apocalyptic number.

3705444540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3705444540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6436195584).

3705444540 is an abundant number, since it is smaller than the sum of its proper divisors (9166946628).

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

3705444540 is a wasteful number, since it uses less digits than its factorization.

3705444540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6168 (or 6163 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The square root of 3705444540 is about 60872.3626944117. The cubic root of 3705444540 is about 1547.4386472910.

The spelling of 3705444540 in words is "three billion, seven hundred five million, four hundred forty-four thousand, five hundred forty".