38416744704 has 432 divisors, whose sum is σ = 122485571712. Its totient is φ = 10627448832.

The previous prime is 38416744661. The next prime is 38416744741. The reversal of 38416744704 is 40744761483.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 50748294 + ... + 50749050.

It is an arithmetic number, because the mean of its divisors is an integer number (283531416).

Almost surely, 2^38416744704 is an apocalyptic number.

38416744704 is a gapful number since it is divisible by the number (34) 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 38416744704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61242785856).

38416744704 is an abundant number, since it is smaller than the sum of its proper divisors (84068827008).

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

38416744704 is a wasteful number, since it uses less digits than its factorization.

38416744704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 48.

The spelling of 38416744704 in words is "thirty-eight billion, four hundred sixteen million, seven hundred forty-four thousand, seven hundred four".