3654546336 has 240 divisors, whose sum is σ = 12931047360. Its totient is φ = 989107200.

The previous prime is 3654546323. The next prime is 3654546347. The reversal of 3654546336 is 6336454563.

3654546336 is a `hidden beast` number, since 3 + 6 + 5 + 4 + 5 + 4 + 633 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3654546291 and 3654546300.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 339436 + ... + 350036.

It is an arithmetic number, because the mean of its divisors is an integer number (53879364).

Almost surely, 2^3654546336 is an apocalyptic number.

3654546336 is a gapful number since it is divisible by the number (36) 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 3654546336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6465523680).

3654546336 is an abundant number, since it is smaller than the sum of its proper divisors (9276501024).

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

3654546336 is a wasteful number, since it uses less digits than its factorization.

3654546336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10649 (or 10632 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 45.

The square root of 3654546336 is about 60452.8439033268. The cubic root of 3654546336 is about 1540.3207202939.

The spelling of 3654546336 in words is "three billion, six hundred fifty-four million, five hundred forty-six thousand, three hundred thirty-six".