3654168480 has 144 divisors (see below), whose sum is σ = 12598886664. Its totient is φ = 964362240.

The previous prime is 3654168457. The next prime is 3654168499. The reversal of 3654168480 is 848614563.

3654168480 is a `hidden beast` number, since 3 + 6 + 5 + 4 + 168 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2417098896 + 1237069584 = 49164^2 + 35172^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126600 + ... + 152760.

Almost surely, 2^3654168480 is an apocalyptic number.

3654168480 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 3654168480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6299443332).

3654168480 is an abundant number, since it is smaller than the sum of its proper divisors (8944718184).

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

3654168480 is a wasteful number, since it uses less digits than its factorization.

3654168480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26279 (or 26268 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 3654168480 is about 60449.7186097669. The cubic root of 3654168480 is about 1540.2676321280.

The spelling of 3654168480 in words is "three billion, six hundred fifty-four million, one hundred sixty-eight thousand, four hundred eighty".