3675993408 has 112 divisors (see below), whose sum is σ = 10846368960. Its totient is φ = 1220838912.

The previous prime is 3675993379. The next prime is 3675993413. The reversal of 3675993408 is 8043995763.

3675993408 is a `hidden beast` number, since 3 + 6 + 7 + 599 + 3 + 40 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 485266 + ... + 492782.

It is an arithmetic number, because the mean of its divisors is an integer number (96842580).

Almost surely, 2^3675993408 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 3675993408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5423184480).

3675993408 is an abundant number, since it is smaller than the sum of its proper divisors (7170375552).

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

3675993408 is a wasteful number, since it uses less digits than its factorization.

3675993408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7821 (or 7805 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 3675993408 is about 60629.9712023682. The cubic root of 3675993408 is about 1543.3280206480.

The spelling of 3675993408 in words is "three billion, six hundred seventy-five million, nine hundred ninety-three thousand, four hundred eight".