3654048384 has 288 divisors, whose sum is σ = 12879172800. Its totient is φ = 988775424.

The previous prime is 3654048373. The next prime is 3654048407. The reversal of 3654048384 is 4838404563.

3654048384 is a `hidden beast` number, since 36 + 540 + 48 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3654048384² = 26704139185226022912, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1070809 + ... + 1074215.

It is an arithmetic number, because the mean of its divisors is an integer number (44719350).

Almost surely, 2^3654048384 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 3654048384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6439586400).

3654048384 is an abundant number, since it is smaller than the sum of its proper divisors (9225124416).

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

3654048384 is a wasteful number, since it uses less digits than its factorization.

3654048384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3460 (or 3438 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The square root of 3654048384 is about 60448.7252471051. The cubic root of 3654048384 is about 1540.2507580649.

The spelling of 3654048384 in words is "three billion, six hundred fifty-four million, forty-eight thousand, three hundred eighty-four".