3958295840 has 192 divisors, whose sum is σ = 10369296000. Its totient is φ = 1421844480.

The previous prime is 3958295839. The next prime is 3958295843. The reversal of 3958295840 is 485928593.

It is a super-2 number, since 2×3958295840² = 31336211913922611200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3958295843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5201060 + ... + 5201820.

It is an arithmetic number, because the mean of its divisors is an integer number (54006750).

Almost surely, 2^3958295840 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 3958295840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184648000).

3958295840 is an abundant number, since it is smaller than the sum of its proper divisors (6411000160).

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

3958295840 is a wasteful number, since it uses less digits than its factorization.

3958295840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 53.

The square root of 3958295840 is about 62914.9889930849. The cubic root of 3958295840 is about 1581.8649984983.

The spelling of 3958295840 in words is "three billion, nine hundred fifty-eight million, two hundred ninety-five thousand, eight hundred forty".