3675090585600 has 864 divisors, whose sum is σ = 15696349119360. Its totient is φ = 803481845760.

The previous prime is 3675090585587. The next prime is 3675090585653. The reversal of 3675090585600 is 65850905763.

3675090585600 is a `hidden beast` number, since 3 + 6 + 7 + 50 + 9 + 0 + 585 + 6 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 74164032 + ... + 74213568.

It is an arithmetic number, because the mean of its divisors is an integer number (18167070740).

Almost surely, 2^{3675090585600} is an apocalyptic number.

3675090585600 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 3675090585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7848174559680).

3675090585600 is an abundant number, since it is smaller than the sum of its proper divisors (12021258533760).

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

3675090585600 is a wasteful number, since it uses less digits than its factorization.

3675090585600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49605 (or 49577 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The spelling of 3675090585600 in words is "three trillion, six hundred seventy-five billion, ninety million, five hundred eighty-five thousand, six hundred".