38643714869760 has 3840 divisors, whose sum is σ = 190335612741120. Its totient is φ = 7303955742720.

The previous prime is 38643714869731. The next prime is 38643714869777. The reversal of 38643714869760 is 6796841734683.

38643714869760 is a `hidden beast` number, since 3 + 8 + 6 + 4 + 3 + 71 + 486 + 9 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 35355639774 + ... + 35355640866.

It is an arithmetic number, because the mean of its divisors is an integer number (49566565818).

Almost surely, 2^{38643714869760} is an apocalyptic number.

38643714869760 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 38643714869760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95167806370560).

38643714869760 is an abundant number, since it is smaller than the sum of its proper divisors (151691897871360).

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

38643714869760 is a wasteful number, since it uses less digits than its factorization.

38643714869760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 38643714869760 in words is "thirty-eight trillion, six hundred forty-three billion, seven hundred fourteen million, eight hundred sixty-nine thousand, seven hundred sixty".