3726405180 has 144 divisors (see below), whose sum is σ = 11544519168. Its totient is φ = 972720000.

The previous prime is 3726405119. The next prime is 3726405187. The reversal of 3726405180 is 815046273.

3726405180 is a `hidden beast` number, since 3 + 7 + 2 + 640 + 5 + 1 + 8 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3726405187) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1928815 + ... + 1930745.

It is an arithmetic number, because the mean of its divisors is an integer number (80170272).

Almost surely, 2^3726405180 is an apocalyptic number.

3726405180 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 3726405180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5772259584).

3726405180 is an abundant number, since it is smaller than the sum of its proper divisors (7818113988).

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

3726405180 is a wasteful number, since it uses less digits than its factorization.

3726405180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 2163 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3726405180 is about 61044.2886763373. The cubic root of 3726405180 is about 1550.3509687373.

The spelling of 3726405180 in words is "three billion, seven hundred twenty-six million, four hundred five thousand, one hundred eighty".