3654720000 has 600 divisors, whose sum is σ = 13959481536. Its totient is φ = 953856000.

The previous prime is 3654719923. The next prime is 3654720007. The reversal of 3654720000 is 274563.

It is a happy number.

3654720000 is a `hidden beast` number, since 3 + 654 + 7 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3654720007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 77759977 + ... + 77760023.

Almost surely, 2^3654720000 is an apocalyptic number.

3654720000 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 3654720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6979740768).

3654720000 is an abundant number, since it is smaller than the sum of its proper divisors (10304761536).

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

3654720000 is an frugal number, since it uses more digits than its factorization.

3654720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 3654720000 is about 60454.2802454880. The cubic root of 3654720000 is about 1540.3451185817.

Adding to 3654720000 its reverse (274563), we get a palindrome (3654994563).

The spelling of 3654720000 in words is "three billion, six hundred fifty-four million, seven hundred twenty thousand".