38263680000 has 1320 divisors, whose sum is σ = 172251087008. Its totient is φ = 7962624000.

The previous prime is 38263679983. The next prime is 38263680071. The reversal of 38263680000 is 8636283.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 524159964 + ... + 524160036.

Almost surely, 2^38263680000 is an apocalyptic number.

38263680000 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 38263680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86125543504).

38263680000 is an abundant number, since it is smaller than the sum of its proper divisors (133987407008).

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

38263680000 is a wasteful number, since it uses less digits than its factorization.

38263680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 38263680000 in words is "thirty-eight billion, two hundred sixty-three million, six hundred eighty thousand".