3673654560 has 288 divisors, whose sum is σ = 13687652160. Its totient is φ = 927894528.

The previous prime is 3673654511. The next prime is 3673654573. The reversal of 3673654560 is 654563763.

3673654560 is a `hidden beast` number, since 3 + 6 + 7 + 36 + 54 + 560 = 666.

3673654560 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 tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 736234 + ... + 741206.

It is an arithmetic number, because the mean of its divisors is an integer number (47526570).

Almost surely, 2^3673654560 is an apocalyptic number.

3673654560 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 3673654560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6843826080).

3673654560 is an abundant number, since it is smaller than the sum of its proper divisors (10013997600).

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

3673654560 is a wasteful number, since it uses less digits than its factorization.

3673654560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5022 (or 5002 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The square root of 3673654560 is about 60610.6802469664. The cubic root of 3673654560 is about 1543.0006374474. Note that the first 3 decimals are identical.

The spelling of 3673654560 in words is "three billion, six hundred seventy-three million, six hundred fifty-four thousand, five hundred sixty".