3705064740 has 288 divisors, whose sum is σ = 12662133120. Its totient is φ = 909387648.

The previous prime is 3705064739. The next prime is 3705064777. The reversal of 3705064740 is 474605073.

3705064740 is a `hidden beast` number, since 3 + 7 + 0 + 5 + 0 + 647 + 4 + 0 = 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 = 3705064695 and 3705064704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10677247 + ... + 10677593.

It is an arithmetic number, because the mean of its divisors is an integer number (43965740).

Almost surely, 2^3705064740 is an apocalyptic number.

3705064740 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 3705064740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6331066560).

3705064740 is an abundant number, since it is smaller than the sum of its proper divisors (8957068380).

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

3705064740 is a wasteful number, since it uses less digits than its factorization.

3705064740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 3705064740 is about 60869.2429721284. The cubic root of 3705064740 is about 1547.3857757869.

The spelling of 3705064740 in words is "three billion, seven hundred five million, sixty-four thousand, seven hundred forty".