3934158601842 has 288 divisors, whose sum is σ = 10916669417472. Its totient is φ = 1055121209856.

The previous prime is 3934158601811. The next prime is 3934158601913. The reversal of 3934158601842 is 2481068514393.

It is a happy number.

3934158601842 is a `hidden beast` number, since 3 + 9 + 3 + 4 + 1 + 586 + 0 + 18 + 42 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 155040268 + ... + 155065640.

It is an arithmetic number, because the mean of its divisors is an integer number (37905102144).

Almost surely, 2^{3934158601842} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3934158601842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5458334708736).

3934158601842 is an abundant number, since it is smaller than the sum of its proper divisors (6982510815630).

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

3934158601842 is a wasteful number, since it uses less digits than its factorization.

3934158601842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25804 (or 25785 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 3934158601842 in words is "three trillion, nine hundred thirty-four billion, one hundred fifty-eight million, six hundred one thousand, eight hundred forty-two".