3872793600 has 528 divisors, whose sum is σ = 15351517440. Its totient is φ = 951091200.

The previous prime is 3872793577. The next prime is 3872793607. The reversal of 3872793600 is 63972783.

It is a happy number.

3872793600 is a `hidden beast` number, since 38 + 7 + 2 + 7 + 9 + 3 + 600 = 666.

It is a super-4 number, since 4×3872793600⁴ (a number of 39 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3872793607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8985385 + ... + 8985815.

Almost surely, 2^3872793600 is an apocalyptic number.

3872793600 is a gapful number since it is divisible by the number (30) 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 3872793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7675758720).

3872793600 is an abundant number, since it is smaller than the sum of its proper divisors (11478723840).

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

3872793600 is a wasteful number, since it uses less digits than its factorization.

3872793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3872793600 is about 62231.7732352213. The cubic root of 3872793600 is about 1570.3921559504.

The spelling of 3872793600 in words is "three billion, eight hundred seventy-two million, seven hundred ninety-three thousand, six hundred".