38799085382442 has 576 divisors, whose sum is σ = 108640737354240. Its totient is φ = 9792566784000.

The previous prime is 38799085382437. The next prime is 38799085382461. The reversal of 38799085382442 is 24428358099783.

38799085382442 is a `hidden beast` number, since 3 + 8 + 79 + 9 + 0 + 85 + 38 + 2 + 442 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 50192865568 + ... + 50192866340.

It is an arithmetic number, because the mean of its divisors is an integer number (188612391240).

Almost surely, 2^{38799085382442} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38799085382442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54320368677120).

38799085382442 is an abundant number, since it is smaller than the sum of its proper divisors (69841651971798).

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

38799085382442 is a wasteful number, since it uses less digits than its factorization.

38799085382442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 38799085382442 in words is "thirty-eight trillion, seven hundred ninety-nine billion, eighty-five million, three hundred eighty-two thousand, four hundred forty-two".