3958022880 has 288 divisors, whose sum is σ = 16009104384. Its totient is φ = 904628736.

The previous prime is 3958022879. The next prime is 3958022899. The reversal of 3958022880 is 882208593.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264889 + ... + 279431.

It is an arithmetic number, because the mean of its divisors is an integer number (55587168).

Almost surely, 2^3958022880 is an apocalyptic number.

3958022880 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 3958022880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8004552192).

3958022880 is an abundant number, since it is smaller than the sum of its proper divisors (12051081504).

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

3958022880 is a wasteful number, since it uses less digits than its factorization.

3958022880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14580 (or 14560 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 3958022880 is about 62912.8196792991. The cubic root of 3958022880 is about 1581.8286364026.

The spelling of 3958022880 in words is "three billion, nine hundred fifty-eight million, twenty-two thousand, eight hundred eighty".