3872424600 has 288 divisors, whose sum is σ = 14261073840. Its totient is φ = 933888000.

The previous prime is 3872424593. The next prime is 3872424617. The reversal of 3872424600 is 64242783.

3872424600 is a `hidden beast` number, since 3 + 8 + 7 + 2 + 42 + 4 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 5088220 + ... + 5088980.

Almost surely, 2^3872424600 is an apocalyptic number.

3872424600 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 3872424600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7130536920).

3872424600 is an abundant number, since it is smaller than the sum of its proper divisors (10388649240).

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

3872424600 is a wasteful number, since it uses less digits than its factorization.

3872424600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3872424600 is about 62228.8084411071. The cubic root of 3872424600 is about 1570.3422786809.

It can be divided in two parts, 3872424 and 600, that added together give a square (3873024 = 1968²).

The spelling of 3872424600 in words is "three billion, eight hundred seventy-two million, four hundred twenty-four thousand, six hundred".