3693641952 has 864 divisors, whose sum is σ = 14816753280. Its totient is φ = 789626880.

The previous prime is 3693641947. The next prime is 3693642041. The reversal of 3693641952 is 2591463963.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1049760) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 194402199 + ... + 194402217.

It is an arithmetic number, because the mean of its divisors is an integer number (17149020).

Almost surely, 2^3693641952 is an apocalyptic number.

3693641952 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 3693641952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7408376640).

3693641952 is an abundant number, since it is smaller than the sum of its proper divisors (11123111328).

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

3693641952 is a wasteful number, since it uses less digits than its factorization.

3693641952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 72 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 48.

The square root of 3693641952 is about 60775.3399990490. The cubic root of 3693641952 is about 1545.7939317674.

The spelling of 3693641952 in words is "three billion, six hundred ninety-three million, six hundred forty-one thousand, nine hundred fifty-two".