3545884800 has 144 divisors (see below), whose sum is σ = 12652632330. Its totient is φ = 945561600.

The previous prime is 3545884789. The next prime is 3545884817. The reversal of 3545884800 is 84885453.

It can be written as a sum of positive squares in 3 ways, for example, as 3183667776 + 362217024 = 56424^2 + 19032^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 17 ways as a sum of consecutive naturals, for example, 32761 + ... + 90360.

Almost surely, 2^3545884800 is an apocalyptic number.

3545884800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3545884800 is an abundant number, since it is smaller than the sum of its proper divisors (9106747530).

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

3545884800 is a wasteful number, since it uses less digits than its factorization.

3545884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123151 (or 123131 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 3545884800 is about 59547.3324339554. The cubic root of 3545884800 is about 1524.9006188036.

The spelling of 3545884800 in words is "three billion, five hundred forty-five million, eight hundred eighty-four thousand, eight hundred".