38031780213504 has 1440 divisors, whose sum is σ = 149271470261760. Its totient is φ = 9330602803200.

The previous prime is 38031780213481. The next prime is 38031780213509. The reversal of 38031780213504 is 40531208713083.

38031780213504 is a `hidden beast` number, since 38 + 0 + 3 + 17 + 80 + 21 + 3 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38031780213504.

It is not an unprimeable number, because it can be changed into a prime (38031780213509) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11315612784 + ... + 11315616144.

Almost surely, 2^{38031780213504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38031780213504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74635735130880).

38031780213504 is an abundant number, since it is smaller than the sum of its proper divisors (111239690048256).

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

38031780213504 is a wasteful number, since it uses less digits than its factorization.

38031780213504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799 (or 3776 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

Adding to 38031780213504 its reverse (40531208713083), we get a palindrome (78562988926587).

The spelling of 38031780213504 in words is "thirty-eight trillion, thirty-one billion, seven hundred eighty million, two hundred thirteen thousand, five hundred four".