38710329840 has 640 divisors, whose sum is σ = 169789132800. Its totient is φ = 7884656640.

The previous prime is 38710329787. The next prime is 38710329841. The reversal of 38710329840 is 4892301783.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38710329841) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 5696845 + ... + 5703635.

It is an arithmetic number, because the mean of its divisors is an integer number (265295520).

Almost surely, 2^38710329840 is an apocalyptic number.

38710329840 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 38710329840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84894566400).

38710329840 is an abundant number, since it is smaller than the sum of its proper divisors (131078802960).

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

38710329840 is a wasteful number, since it uses less digits than its factorization.

38710329840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6862 (or 6850 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 38710329840 in words is "thirty-eight billion, seven hundred ten million, three hundred twenty-nine thousand, eight hundred forty".