3727285632 has 768 divisors, whose sum is σ = 14435366400. Its totient is φ = 931627008.

The previous prime is 3727285621. The next prime is 3727285633. The reversal of 3727285632 is 2365827273.

3727285632 is a `hidden beast` number, since 3 + 7 + 2 + 7 + 2 + 8 + 5 + 632 = 666.

3727285632 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3727285633) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70326118 + ... + 70326170.

It is an arithmetic number, because the mean of its divisors is an integer number (18796050).

Almost surely, 2^3727285632 is an apocalyptic number.

3727285632 is a gapful number since it is divisible by the number (32) 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 3727285632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7217683200).

3727285632 is an abundant number, since it is smaller than the sum of its proper divisors (10708080768).

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

3727285632 is a wasteful number, since it uses less digits than its factorization.

3727285632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The square root of 3727285632 is about 61051.4998341564. The cubic root of 3727285632 is about 1550.4730615724.

The spelling of 3727285632 in words is "three billion, seven hundred twenty-seven million, two hundred eighty-five thousand, six hundred thirty-two".