38739262716000 has 4608 divisors, whose sum is σ = 192743276544000. Its totient is φ = 7369781760000.

The previous prime is 38739262715987. The next prime is 38739262716059. The reversal of 38739262716000 is 61726293783.

38739262716000 is a `hidden beast` number, since 3 + 8 + 7 + 3 + 9 + 2 + 6 + 27 + 1 + 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 an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 53879363641 + ... + 53879364359.

It is an arithmetic number, because the mean of its divisors is an integer number (41827968000).

Almost surely, 2^{38739262716000} is an apocalyptic number.

38739262716000 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 38739262716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96371638272000).

38739262716000 is an abundant number, since it is smaller than the sum of its proper divisors (154004013828000).

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

38739262716000 is a wasteful number, since it uses less digits than its factorization.

38739262716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 38739262716000 in words is "thirty-eight trillion, seven hundred thirty-nine billion, two hundred sixty-two million, seven hundred sixteen thousand".