3654216720 has 640 divisors, whose sum is σ = 15907553280. Its totient is φ = 748984320.

The previous prime is 3654216719. The next prime is 3654216721. The reversal of 3654216720 is 276124563.

3654216720 is a `hidden beast` number, since 36 + 542 + 1 + 67 + 20 = 666.

3654216720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3654216719) and next prime (3654216721).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3654216721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21122554 + ... + 21122726.

It is an arithmetic number, because the mean of its divisors is an integer number (24855552).

Almost surely, 2^3654216720 is an apocalyptic number.

3654216720 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 3654216720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7953776640).

3654216720 is an abundant number, since it is smaller than the sum of its proper divisors (12253336560).

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

3654216720 is a wasteful number, since it uses less digits than its factorization.

3654216720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3654216720 is about 60450.1176177516. The cubic root of 3654216720 is about 1540.2744099749.

The spelling of 3654216720 in words is "three billion, six hundred fifty-four million, two hundred sixteen thousand, seven hundred twenty".