3727564704 has 384 divisors, whose sum is σ = 12479443200. Its totient is φ = 1077940224.

The previous prime is 3727564699. The next prime is 3727564727. The reversal of 3727564704 is 4074657273.

It is a self number, because there is not a number n which added to its sum of digits gives 3727564704.

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 63 ways as a sum of consecutive naturals, for example, 100744974 + ... + 100745010.

It is an arithmetic number, because the mean of its divisors is an integer number (32498550).

Almost surely, 2^3727564704 is an apocalyptic number.

3727564704 is a gapful number since it is divisible by the number (34) 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 3727564704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6239721600).

3727564704 is an abundant number, since it is smaller than the sum of its proper divisors (8751878496).

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

3727564704 is a wasteful number, since it uses less digits than its factorization.

3727564704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The square root of 3727564704 is about 61053.7853371926. The cubic root of 3727564704 is about 1550.5117566500.

The spelling of 3727564704 in words is "three billion, seven hundred twenty-seven million, five hundred sixty-four thousand, seven hundred four".