3836158081920 has 1280 divisors, whose sum is σ = 15116453953920. Its totient is φ = 923027374080.

The previous prime is 3836158081897. The next prime is 3836158081963. The reversal of 3836158081920 is 291808516383.

3836158081920 is a `hidden beast` number, since 3 + 8 + 3 + 615 + 8 + 0 + 8 + 19 + 2 + 0 = 666.

It is a super-2 number, since 2×3836158081920² (a number of 26 digits) contains 22 as substring.

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 159 ways as a sum of consecutive naturals, for example, 2315121732 + ... + 2315123388.

Almost surely, 2^{3836158081920} is an apocalyptic number.

3836158081920 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 3836158081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7558226976960).

3836158081920 is an abundant number, since it is smaller than the sum of its proper divisors (11280295872000).

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

3836158081920 is a wasteful number, since it uses less digits than its factorization.

3836158081920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 3836158081920 in words is "three trillion, eight hundred thirty-six billion, one hundred fifty-eight million, eighty-one thousand, nine hundred twenty".