3727408752 has 300 divisors, whose sum is σ = 11798905536. Its totient is φ = 1134673920.

The previous prime is 3727408747. The next prime is 3727408753. The reversal of 3727408752 is 2578047273.

It is a junction number, because it is equal to n+sod(n) for n = 3727408698 and 3727408707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3727408753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 14503408 + ... + 14503664.

Almost surely, 2^3727408752 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 3727408752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5899452768).

3727408752 is an abundant number, since it is smaller than the sum of its proper divisors (8071496784).

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

3727408752 is a wasteful number, since it uses less digits than its factorization.

3727408752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 45.

The square root of 3727408752 is about 61052.5081548662. The cubic root of 3727408752 is about 1550.4901331683.

The spelling of 3727408752 in words is "three billion, seven hundred twenty-seven million, four hundred eight thousand, seven hundred fifty-two".