3958090320384 has 160 divisors (see below), whose sum is σ = 11819910263040. Its totient is φ = 1307687141376.

The previous prime is 3958090320311. The next prime is 3958090320391. The reversal of 3958090320384 is 4830230908593.

It is a happy number.

3958090320384 is a `hidden beast` number, since 3 + 9 + 580 + 9 + 0 + 3 + 20 + 38 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3958090320384.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 295209 + ... + 2829015.

It is an arithmetic number, because the mean of its divisors is an integer number (73874439144).

Almost surely, 2^{3958090320384} 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 3958090320384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5909955131520).

3958090320384 is an abundant number, since it is smaller than the sum of its proper divisors (7861819942656).

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

3958090320384 is a wasteful number, since it uses less digits than its factorization.

3958090320384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533947 (or 2533925 counting only the distinct ones).

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

The spelling of 3958090320384 in words is "three trillion, nine hundred fifty-eight billion, ninety million, three hundred twenty thousand, three hundred eighty-four".