38771304000 has 1008 divisors, whose sum is σ = 154305365760. Its totient is φ = 8566272000.

The previous prime is 38771303983. The next prime is 38771304023. The reversal of 38771304000 is 40317783.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 490775961 + ... + 490776039.

It is an arithmetic number, because the mean of its divisors is an integer number (153080720).

Almost surely, 2^38771304000 is an apocalyptic number.

38771304000 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 38771304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77152682880).

38771304000 is an abundant number, since it is smaller than the sum of its proper divisors (115534061760).

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

38771304000 is a wasteful number, since it uses less digits than its factorization.

38771304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The spelling of 38771304000 in words is "thirty-eight billion, seven hundred seventy-one million, three hundred four thousand".