3872542608 has 600 divisors, whose sum is σ = 14113962720. Its totient is φ = 1010257920.

The previous prime is 3872542601. The next prime is 3872542621. The reversal of 3872542608 is 8062452783.

3872542608 is a `hidden beast` number, since 38 + 7 + 2 + 5 + 4 + 2 + 608 = 666.

3872542608 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3872542601) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 133535938 + ... + 133535966.

Almost surely, 2^3872542608 is an apocalyptic number.

3872542608 is a gapful number since it is divisible by the number (38) 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 3872542608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056981360).

3872542608 is an abundant number, since it is smaller than the sum of its proper divisors (10241420112).

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

3872542608 is a wasteful number, since it uses less digits than its factorization.

3872542608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 3872542608 is about 62229.7566120903. The cubic root of 3872542608 is about 1570.3582300196.

The spelling of 3872542608 in words is "three billion, eight hundred seventy-two million, five hundred forty-two thousand, six hundred eight".