38437983216000 has 512 divisors, whose sum is σ = 142903253376000. Its totient is φ = 10154321049600.

The previous prime is 38437983215897. The next prime is 38437983216001. The reversal of 38437983216000 is 61238973483.

38437983216000 is a `hidden beast` number, since 3 + 8 + 4 + 3 + 7 + 9 + 8 + 3 + 21 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38437983216001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45808221 + ... + 46639779.

It is an arithmetic number, because the mean of its divisors is an integer number (279107916750).

Almost surely, 2^{38437983216000} is an apocalyptic number.

38437983216000 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 38437983216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71451626688000).

38437983216000 is an abundant number, since it is smaller than the sum of its proper divisors (104465270160000).

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

38437983216000 is a wasteful number, since it uses less digits than its factorization.

38437983216000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831704 (or 831676 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 38437983216000 in words is "thirty-eight trillion, four hundred thirty-seven billion, nine hundred eighty-three million, two hundred sixteen thousand".