3654937728 has 448 divisors, whose sum is σ = 12361567680. Its totient is φ = 1067489280.

The previous prime is 3654937721. The next prime is 3654937733. The reversal of 3654937728 is 8277394563.

3654937728 is a `hidden beast` number, since 3 + 6 + 549 + 3 + 77 + 28 = 666.

3654937728 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 (54).

It is not an unprimeable number, because it can be changed into a prime (3654937721) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 27900223 + ... + 27900353.

It is an arithmetic number, because the mean of its divisors is an integer number (27592785).

Almost surely, 2^3654937728 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 3654937728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6180783840).

3654937728 is an abundant number, since it is smaller than the sum of its proper divisors (8706629952).

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

3654937728 is a wasteful number, since it uses less digits than its factorization.

3654937728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 172 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 3654937728 is about 60456.0809844634. The cubic root of 3654937728 is about 1540.3757063880.

The spelling of 3654937728 in words is "three billion, six hundred fifty-four million, nine hundred thirty-seven thousand, seven hundred twenty-eight".