3675363552 has 192 divisors, whose sum is σ = 12972234240. Its totient is φ = 988305408.

The previous prime is 3675363541. The next prime is 3675363557. The reversal of 3675363552 is 2553635763.

3675363552 is a `hidden beast` number, since 3 + 6 + 7 + 5 + 3 + 635 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3675363498 and 3675363507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3675363557) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84943 + ... + 120689.

It is an arithmetic number, because the mean of its divisors is an integer number (67563720).

Almost surely, 2^3675363552 is an apocalyptic number.

3675363552 is a gapful number since it is divisible by the number (32) 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 3675363552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6486117120).

3675363552 is an abundant number, since it is smaller than the sum of its proper divisors (9296870688).

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

3675363552 is a wasteful number, since it uses less digits than its factorization.

3675363552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35790 (or 35776 counting only the distinct ones).

The product of its digits is 1701000, while the sum is 45.

The square root of 3675363552 is about 60624.7767171146. The cubic root of 3675363552 is about 1543.2398694255.

The spelling of 3675363552 in words is "three billion, six hundred seventy-five million, three hundred sixty-three thousand, five hundred fifty-two".