38745984000 has 704 divisors, whose sum is σ = 139055035392. Its totient is φ = 9551872000.

The previous prime is 38745983971. The next prime is 38745984037. The reversal of 38745984000 is 48954783.

It is a super-2 number, since 2×38745984000² (a number of 22 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 362111947 + ... + 362112053.

Almost surely, 2^38745984000 is an apocalyptic number.

38745984000 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 38745984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69527517696).

38745984000 is an abundant number, since it is smaller than the sum of its proper divisors (100309051392).

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

38745984000 is a wasteful number, since it uses less digits than its factorization.

38745984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 38745984000 in words is "thirty-eight billion, seven hundred forty-five million, nine hundred eighty-four thousand".