3653814960 has 160 divisors (see below), whose sum is σ = 13132730880. Its totient is φ = 931974912.

The previous prime is 3653814929. The next prime is 3653814977. The reversal of 3653814960 is 694183563.

3653814960 is a `hidden beast` number, since 36 + 53 + 81 + 496 + 0 = 666.

It is a super-3 number, since 3×3653814960³ (a number of 30 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 12907 + ... + 86453.

It is an arithmetic number, because the mean of its divisors is an integer number (82079568).

Almost surely, 2^3653814960 is an apocalyptic number.

3653814960 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 3653814960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6566365440).

3653814960 is an abundant number, since it is smaller than the sum of its proper divisors (9478915920).

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

3653814960 is a wasteful number, since it uses less digits than its factorization.

3653814960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73592 (or 73580 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 3653814960 is about 60446.7944559511. The cubic root of 3653814960 is about 1540.2179598175.

The spelling of 3653814960 in words is "three billion, six hundred fifty-three million, eight hundred fourteen thousand, nine hundred sixty".