3705103864 has 64 divisors (see below), whose sum is σ = 8670781440. Its totient is φ = 1441964160.

The previous prime is 3705103861. The next prime is 3705103877. The reversal of 3705103864 is 4683015073.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3705103861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 670537 + ... + 676039.

It is an arithmetic number, because the mean of its divisors is an integer number (135480960).

Almost surely, 2^3705103864 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 3705103864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4335390720).

3705103864 is an abundant number, since it is smaller than the sum of its proper divisors (4965677576).

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

3705103864 is a wasteful number, since it uses less digits than its factorization.

3705103864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6620 (or 6616 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 3705103864 is about 60869.5643486956. The cubic root of 3705103864 is about 1547.3912223591.

The spelling of 3705103864 in words is "three billion, seven hundred five million, one hundred three thousand, eight hundred sixty-four".