3872079288 has 320 divisors, whose sum is σ = 13724536320. Its totient is φ = 990662400.

The previous prime is 3872079287. The next prime is 3872079373. The reversal of 3872079288 is 8829702783.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3872079287) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3542070 + ... + 3543162.

It is an arithmetic number, because the mean of its divisors is an integer number (42889176).

Almost surely, 2^3872079288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3872079288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6862268160).

3872079288 is an abundant number, since it is smaller than the sum of its proper divisors (9852457032).

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

3872079288 is a wasteful number, since it uses less digits than its factorization.

3872079288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 3872079288 is about 62226.0338443645. The cubic root of 3872079288 is about 1570.2956004187.

It can be divided in two parts, 387207 and 9288, that added together give a triangular number (396495 = T₈₉₀).

The spelling of 3872079288 in words is "three billion, eight hundred seventy-two million, seventy-nine thousand, two hundred eighty-eight".