3801708158976 has 896 divisors, whose sum is σ = 14594028825600. Its totient is φ = 949781790720.

The previous prime is 3801708158971. The next prime is 3801708158977. The reversal of 3801708158976 is 6798518071083.

3801708158976 is a `hidden beast` number, since 38 + 0 + 17 + 0 + 8 + 1 + 589 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3801708158971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 382422166 + ... + 382432106.

It is an arithmetic number, because the mean of its divisors is an integer number (16287978600).

Almost surely, 2^{3801708158976} is an apocalyptic number.

3801708158976 is a gapful number since it is divisible by the number (36) 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 3801708158976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7297014412800).

3801708158976 is an abundant number, since it is smaller than the sum of its proper divisors (10792320666624).

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

3801708158976 is a wasteful number, since it uses less digits than its factorization.

3801708158976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10015 (or 9985 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 3801708158976 in words is "three trillion, eight hundred one billion, seven hundred eight million, one hundred fifty-eight thousand, nine hundred seventy-six".