3693537792 has 240 divisors, whose sum is σ = 12636816192. Its totient is φ = 1055047680.

The previous prime is 3693537779. The next prime is 3693537821. The reversal of 3693537792 is 2977353963.

3693537792 is a `hidden beast` number, since 36 + 9 + 3 + 537 + 79 + 2 = 666.

It is a super-4 number, since 4×3693537792⁴ (a number of 39 digits) contains 4444 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 868792 + ... + 873032.

Almost surely, 2^3693537792 is an apocalyptic number.

3693537792 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 3693537792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6318408096).

3693537792 is an abundant number, since it is smaller than the sum of its proper divisors (8943278400).

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

3693537792 is an frugal number, since it uses more digits than its factorization.

3693537792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4281 (or 4253 counting only the distinct ones).

The product of its digits is 6429780, while the sum is 54.

The square root of 3693537792 is about 60774.4830664976. The cubic root of 3693537792 is about 1545.7794012659.

It can be divided in two parts, 369 and 3537792, that added together give a square (3538161 = 1881²).

The spelling of 3693537792 in words is "three billion, six hundred ninety-three million, five hundred thirty-seven thousand, seven hundred ninety-two".