38747406672 has 320 divisors, whose sum is σ = 128039304960. Its totient is φ = 11113168896.

The previous prime is 38747406671. The next prime is 38747406673. The reversal of 38747406672 is 27660474783.

It is an interprime number because it is at equal distance from previous prime (38747406671) and next prime (38747406673).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38747406671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10213608 + ... + 10217400.

It is an arithmetic number, because the mean of its divisors is an integer number (400122828).

Almost surely, 2^38747406672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38747406672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64019652480).

38747406672 is an abundant number, since it is smaller than the sum of its proper divisors (89291898288).

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

38747406672 is a wasteful number, since it uses less digits than its factorization.

38747406672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947 (or 3935 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 54.

The spelling of 38747406672 in words is "thirty-eight billion, seven hundred forty-seven million, four hundred six thousand, six hundred seventy-two".