38693376000 has 624 divisors, whose sum is σ = 145116736128. Its totient is φ = 10285056000.

The previous prime is 38693375977. The next prime is 38693376011. The reversal of 38693376000 is 67339683.

It is a happy number.

38693376000 is a `hidden beast` number, since 3 + 8 + 6 + 9 + 3 + 37 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 124415845 + ... + 124416155.

It is an arithmetic number, because the mean of its divisors is an integer number (232558872).

Almost surely, 2^38693376000 is an apocalyptic number.

38693376000 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 38693376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72558368064).

38693376000 is an abundant number, since it is smaller than the sum of its proper divisors (106423360128).

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

38693376000 is an frugal number, since it uses more digits than its factorization.

38693376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 38693376000 in words is "thirty-eight billion, six hundred ninety-three million, three hundred seventy-six thousand".