38436476158080 has 4096 divisors, whose sum is σ = 193174319923200. Its totient is φ = 6964509081600.

The previous prime is 38436476158079. The next prime is 38436476158097. The reversal of 38436476158080 is 8085167463483.

38436476158080 is a `hidden beast` number, since 3 + 8 + 4 + 3 + 6 + 4 + 7 + 615 + 8 + 0 + 8 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 38436476157999 and 38436476158017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 23057273407 + ... + 23057275073.

It is an arithmetic number, because the mean of its divisors is an integer number (47161699200).

Almost surely, 2^{38436476158080} is an apocalyptic number.

38436476158080 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 38436476158080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96587159961600).

38436476158080 is an abundant number, since it is smaller than the sum of its proper divisors (154737843765120).

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

38436476158080 is a wasteful number, since it uses less digits than its factorization.

38436476158080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1800 (or 1782 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 38436476158080 in words is "thirty-eight trillion, four hundred thirty-six billion, four hundred seventy-six million, one hundred fifty-eight thousand, eighty".