38123671040 has 320 divisors, whose sum is σ = 116152565760. Its totient is φ = 11674091520.

The previous prime is 38123671007. The next prime is 38123671049. The reversal of 38123671040 is 4017632183.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×38123671040² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38123671049) 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 31 ways as a sum of consecutive naturals, for example, 7219121 + ... + 7224399.

It is an arithmetic number, because the mean of its divisors is an integer number (362976768).

Almost surely, 2^38123671040 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 38123671040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58076282880).

38123671040 is an abundant number, since it is smaller than the sum of its proper divisors (78028894720).

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

38123671040 is a wasteful number, since it uses less digits than its factorization.

38123671040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5353 (or 5337 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The spelling of 38123671040 in words is "thirty-eight billion, one hundred twenty-three million, six hundred seventy-one thousand, forty".