3958513440 has 384 divisors, whose sum is σ = 15005233152. Its totient is φ = 857640960.

The previous prime is 3958513421. The next prime is 3958513457. The reversal of 3958513440 is 443158593.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3958513392 and 3958513401.

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 63 ways as a sum of consecutive naturals, for example, 13987539 + ... + 13987821.

It is an arithmetic number, because the mean of its divisors is an integer number (39076128).

Almost surely, 2^3958513440 is an apocalyptic number.

3958513440 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 3958513440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7502616576).

3958513440 is an abundant number, since it is smaller than the sum of its proper divisors (11046719712).

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

3958513440 is a wasteful number, since it uses less digits than its factorization.

3958513440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 3958513440 is about 62916.7182869545. The cubic root of 3958513440 is about 1581.8939846689.

The spelling of 3958513440 in words is "three billion, nine hundred fifty-eight million, five hundred thirteen thousand, four hundred forty".