38401144436776 has 96 divisors (see below), whose sum is σ = 82752066936000. Its totient is φ = 16662140633600.

The previous prime is 38401144436771. The next prime is 38401144436783. The reversal of 38401144436776 is 67763444110483.

It is a super-2 number, since 2×38401144436776² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38401144436776.

It is not an unprimeable number, because it can be changed into a prime (38401144436771) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9175200 + ... + 12688048.

It is an arithmetic number, because the mean of its divisors is an integer number (862000697250).

Almost surely, 2^{38401144436776} 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 38401144436776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41376033468000).

38401144436776 is an abundant number, since it is smaller than the sum of its proper divisors (44350922499224).

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

38401144436776 is a wasteful number, since it uses less digits than its factorization.

38401144436776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3513391 (or 3513376 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 58.

The spelling of 38401144436776 in words is "thirty-eight trillion, four hundred one billion, one hundred forty-four million, four hundred thirty-six thousand, seven hundred seventy-six".