3803218560 has 96 divisors (see below), whose sum is σ = 13133008980. Its totient is φ = 1014190080.

The previous prime is 3803218537. The next prime is 3803218561. The reversal of 3803218560 is 658123083.

3803218560 is a `hidden beast` number, since 3 + 80 + 3 + 2 + 18 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3092249664 + 710968896 = 55608^2 + 26664^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 (3803218561) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 324381 + ... + 335900.

Almost surely, 2^3803218560 is an apocalyptic number.

3803218560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3803218560 is an abundant number, since it is smaller than the sum of its proper divisors (9329790420).

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

3803218560 is a wasteful number, since it uses less digits than its factorization.

3803218560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660306 (or 660291 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3803218560 is about 61670.2404730191. The cubic root of 3803218560 is about 1560.9311994593.

The spelling of 3803218560 in words is "three billion, eight hundred three million, two hundred eighteen thousand, five hundred sixty".