3727643040 has 576 divisors, whose sum is σ = 14944849920. Its totient is φ = 836075520.

The previous prime is 3727642999. The next prime is 3727643077. The reversal of 3727643040 is 403467273.

It is a happy number.

3727643040 is a `hidden beast` number, since 3 + 7 + 2 + 7 + 643 + 0 + 4 + 0 = 666.

3727643040 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 Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3727642986 and 3727643004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29351457 + ... + 29351583.

It is an arithmetic number, because the mean of its divisors is an integer number (25945920).

Almost surely, 2^3727643040 is an apocalyptic number.

3727643040 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 3727643040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7472424960).

3727643040 is an abundant number, since it is smaller than the sum of its proper divisors (11217206880).

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

3727643040 is a wasteful number, since it uses less digits than its factorization.

3727643040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 3727643040 is about 61054.4268665262. The cubic root of 3727643040 is about 1550.5226180790.

The spelling of 3727643040 in words is "three billion, seven hundred twenty-seven million, six hundred forty-three thousand, forty".