38406720096 has 144 divisors (see below), whose sum is σ = 110654972064. Its totient is φ = 12634693632.

The previous prime is 38406720089. The next prime is 38406720103. The reversal of 38406720096 is 69002760483.

38406720096 is a `hidden beast` number, since 38 + 406 + 7 + 200 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (38406720089) and next prime (38406720103).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×38406720096² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 11088861 + ... + 11092323.

It is an arithmetic number, because the mean of its divisors is an integer number (768437306).

Almost surely, 2^38406720096 is an apocalyptic number.

38406720096 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 38406720096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55327486032).

38406720096 is an abundant number, since it is smaller than the sum of its proper divisors (72248251968).

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

38406720096 is a wasteful number, since it uses less digits than its factorization.

38406720096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3973 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 38406720096 in words is "thirty-eight billion, four hundred six million, seven hundred twenty thousand, ninety-six".