38578036800 has 336 divisors, whose sum is σ = 131926413312. Its totient is φ = 9858508800.

The previous prime is 38578036751. The next prime is 38578036859. The reversal of 38578036800 is 863087583.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38578036800.

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, 15920389 + ... + 15922811.

Almost surely, 2^38578036800 is an apocalyptic number.

38578036800 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 38578036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65963206656).

38578036800 is an abundant number, since it is smaller than the sum of its proper divisors (93348376512).

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

38578036800 is a wasteful number, since it uses less digits than its factorization.

38578036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586 (or 2571 counting only the distinct ones).

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

The spelling of 38578036800 in words is "thirty-eight billion, five hundred seventy-eight million, thirty-six thousand, eight hundred".