3675013584 has 80 divisors (see below), whose sum is σ = 10372520640. Its totient is φ = 1111956480.

The previous prime is 3675013571. The next prime is 3675013591. The reversal of 3675013584 is 4853105763.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369444 + ... + 379260.

It is an arithmetic number, because the mean of its divisors is an integer number (129656508).

Almost surely, 2^3675013584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3675013584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5186260320).

3675013584 is an abundant number, since it is smaller than the sum of its proper divisors (6697507056).

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

3675013584 is a wasteful number, since it uses less digits than its factorization.

3675013584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10548 (or 10542 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The square root of 3675013584 is about 60621.8903037508. The cubic root of 3675013584 is about 1543.1908854537.

The spelling of 3675013584 in words is "three billion, six hundred seventy-five million, thirteen thousand, five hundred eighty-four".