3995258589504 has 448 divisors, whose sum is σ = 14516399923200. Its totient is φ = 1049275938816.

The previous prime is 3995258589493. The next prime is 3995258589529. The reversal of 3995258589504 is 4059858525993.

3995258589504 is a `hidden beast` number, since 3 + 9 + 9 + 525 + 8 + 5 + 8 + 95 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37529119 + ... + 37635425.

It is an arithmetic number, because the mean of its divisors is an integer number (32402678400).

Almost surely, 2^{3995258589504} 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 3995258589504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7258199961600).

3995258589504 is an abundant number, since it is smaller than the sum of its proper divisors (10521141333696).

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

3995258589504 is a wasteful number, since it uses less digits than its factorization.

3995258589504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106587 (or 106571 counting only the distinct ones).

The product of its (nonzero) digits is 699840000, while the sum is 72.

The spelling of 3995258589504 in words is "three trillion, nine hundred ninety-five billion, two hundred fifty-eight million, five hundred eighty-nine thousand, five hundred four".