38734103084544 has 960 divisors, whose sum is σ = 138332614717440. Its totient is φ = 10183028244480.

The previous prime is 38734103084533. The next prime is 38734103084617. The reversal of 38734103084544 is 44548030143783.

38734103084544 is a `hidden beast` number, since 3 + 8 + 7 + 3 + 4 + 10 + 3 + 0 + 84 + 544 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4461935884 + ... + 4461944564.

It is an arithmetic number, because the mean of its divisors is an integer number (144096473664).

Almost surely, 2^{38734103084544} is an apocalyptic number.

38734103084544 is a gapful number since it is divisible by the number (34) 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 38734103084544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69166307358720).

38734103084544 is an abundant number, since it is smaller than the sum of its proper divisors (99598511632896).

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

38734103084544 is a wasteful number, since it uses less digits than its factorization.

38734103084544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8911 (or 8892 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 38734103084544 in words is "thirty-eight trillion, seven hundred thirty-four billion, one hundred three million, eighty-four thousand, five hundred forty-four".