3958326240 has 576 divisors, whose sum is σ = 15347646720. Its totient is φ = 851558400.

The previous prime is 3958326227. The next prime is 3958326271. The reversal of 3958326240 is 426238593.

It is a junction number, because it is equal to n+sod(n) for n = 3958326192 and 3958326201.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 18759735 + ... + 18759945.

It is an arithmetic number, because the mean of its divisors is an integer number (26645220).

Almost surely, 2^3958326240 is an apocalyptic number.

3958326240 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 3958326240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7673823360).

3958326240 is an abundant number, since it is smaller than the sum of its proper divisors (11389320480).

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

3958326240 is a wasteful number, since it uses less digits than its factorization.

3958326240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 3958326240 is about 62915.2305884672. The cubic root of 3958326240 is about 1581.8690481006.

The spelling of 3958326240 in words is "three billion, nine hundred fifty-eight million, three hundred twenty-six thousand, two hundred forty".