38614735368000 has 1344 divisors, whose sum is σ = 156567410528256. Its totient is φ = 9343330560000.

The previous prime is 38614735367921. The next prime is 38614735368031. The reversal of 38614735368000 is 86353741683.

38614735368000 is a `hidden beast` number, since 3 + 8 + 61 + 47 + 3 + 536 + 8 + 0 + 0 + 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 191 ways as a sum of consecutive naturals, for example, 13835446605 + ... + 13835449395.

It is an arithmetic number, because the mean of its divisors is an integer number (116493609024).

Almost surely, 2^{38614735368000} is an apocalyptic number.

38614735368000 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 38614735368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78283705264128).

38614735368000 is an abundant number, since it is smaller than the sum of its proper divisors (117952675160256).

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

38614735368000 is a wasteful number, since it uses less digits than its factorization.

38614735368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3491 (or 3459 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 38614735368000 in words is "thirty-eight trillion, six hundred fourteen billion, seven hundred thirty-five million, three hundred sixty-eight thousand".