3651298560 has 1008 divisors, whose sum is σ = 16514408064. Its totient is φ = 752467968.

The previous prime is 3651298529. The next prime is 3651298579. The reversal of 3651298560 is 658921563.

3651298560 is a `hidden beast` number, since 3 + 65 + 1 + 29 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 84913899 + ... + 84913941.

Almost surely, 2^3651298560 is an apocalyptic number.

3651298560 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 3651298560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8257204032).

3651298560 is an abundant number, since it is smaller than the sum of its proper divisors (12863109504).

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

3651298560 is an equidigital number, since it uses as much as digits as its factorization.

3651298560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 3651298560 is about 60425.9758713089. The cubic root of 3651298560 is about 1539.8642934333.

The spelling of 3651298560 in words is "three billion, six hundred fifty-one million, two hundred ninety-eight thousand, five hundred sixty".