3675950208 has 320 divisors, whose sum is σ = 12685168800. Its totient is φ = 1047900672.

The previous prime is 3675950207. The next prime is 3675950221. The reversal of 3675950208 is 8020595763.

It is a happy number.

3675950208 is a `hidden beast` number, since 36 + 7 + 595 + 0 + 20 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (3675950207) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 8297635 + ... + 8298077.

Almost surely, 2^3675950208 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 3675950208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6342584400).

3675950208 is an abundant number, since it is smaller than the sum of its proper divisors (9009218592).

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

3675950208 is an frugal number, since it uses more digits than its factorization.

3675950208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 3675950208 is about 60629.6149418747. The cubic root of 3675950208 is about 1543.3219749325.

The spelling of 3675950208 in words is "three billion, six hundred seventy-five million, nine hundred fifty thousand, two hundred eight".