3958601934420 has 1008 divisors, whose sum is σ = 15106711591440. Its totient is φ = 867344744448.

The previous prime is 3958601934377. The next prime is 3958601934439. The reversal of 3958601934420 is 244391068593.

3958601934420 is a `hidden beast` number, since 3 + 9 + 5 + 8 + 6 + 0 + 193 + 442 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 240731534736 + 3717870399684 = 490644^2 + 1928178^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 3252753652 + ... + 3252754868.

It is an arithmetic number, because the mean of its divisors is an integer number (14986817055).

Almost surely, 2^{3958601934420} is an apocalyptic number.

3958601934420 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 3958601934420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7553355795720).

3958601934420 is an abundant number, since it is smaller than the sum of its proper divisors (11148109657020).

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

3958601934420 is a wasteful number, since it uses less digits than its factorization.

3958601934420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 3958601934420 in words is "three trillion, nine hundred fifty-eight billion, six hundred one million, nine hundred thirty-four thousand, four hundred twenty".