38172451806720 has 6720 divisors, whose sum is σ = 191874799226880. Its totient is φ = 7094697984000.

The previous prime is 38172451806703. The next prime is 38172451806733. The reversal of 38172451806720 is 2760815427183.

38172451806720 is a `hidden beast` number, since 3 + 81 + 7 + 24 + 518 + 0 + 6 + 7 + 20 = 666.

38172451806720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (6720).

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

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 931035409900 + ... + 931035409940.

It is an arithmetic number, because the mean of its divisors is an integer number (28552797504).

Almost surely, 2^{38172451806720} is an apocalyptic number.

38172451806720 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 38172451806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95937399613440).

38172451806720 is an abundant number, since it is smaller than the sum of its proper divisors (153702347420160).

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

38172451806720 is a wasteful number, since it uses less digits than its factorization.

38172451806720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 38172451806720 in words is "thirty-eight trillion, one hundred seventy-two billion, four hundred fifty-one million, eight hundred six thousand, seven hundred twenty".