38348351760 has 40 divisors (see below), whose sum is σ = 118879891200. Its totient is φ = 10226227072.

The previous prime is 38348351759. The next prime is 38348351761. The reversal of 38348351760 is 6715384383.

38348351760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (38348351759) and next prime (38348351761).

It is a tau number, because it is divible by the number of its divisors (40).

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

It is not an unprimeable number, because it can be changed into a prime (38348351761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79892160 + ... + 79892639.

It is an arithmetic number, because the mean of its divisors is an integer number (2971997280).

Almost surely, 2^38348351760 is an apocalyptic number.

38348351760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38348351760 is an abundant number, since it is smaller than the sum of its proper divisors (80531539440).

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

38348351760 is a wasteful number, since it uses less digits than its factorization.

38348351760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159784815 (or 159784809 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 38348351760 in words is "thirty-eight billion, three hundred forty-eight million, three hundred fifty-one thousand, seven hundred sixty".