3872033408 has 64 divisors (see below), whose sum is σ = 8167629600. Its totient is φ = 1823321088.

The previous prime is 3872033401. The next prime is 3872033419. The reversal of 3872033408 is 8043302783.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (3872033401) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 416135 + ... + 425337.

Almost surely, 2^3872033408 is an apocalyptic number.

3872033408 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 3872033408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4083814800).

3872033408 is an abundant number, since it is smaller than the sum of its proper divisors (4295596192).

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

3872033408 is a wasteful number, since it uses less digits than its factorization.

3872033408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9409 (or 9397 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 3872033408 is about 62225.6651872843. The cubic root of 3872033408 is about 1570.2893982862.

The spelling of 3872033408 in words is "three billion, eight hundred seventy-two million, thirty-three thousand, four hundred eight".