38688309504 has 1152 divisors, whose sum is σ = 145048780800. Its totient is φ = 10032906240.

The previous prime is 38688309497. The next prime is 38688309511. The reversal of 38688309504 is 40590388683.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38688309497) and next prime (38688309511).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 899728107 + ... + 899728149.

It is an arithmetic number, because the mean of its divisors is an integer number (125910400).

Almost surely, 2^38688309504 is an apocalyptic number.

38688309504 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 38688309504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72524390400).

38688309504 is an abundant number, since it is smaller than the sum of its proper divisors (106360471296).

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

38688309504 is a wasteful number, since it uses less digits than its factorization.

38688309504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 38688309504 in words is "thirty-eight billion, six hundred eighty-eight million, three hundred nine thousand, five hundred four".