38514974883840 has 3072 divisors, whose sum is σ = 174117464801280. Its totient is φ = 7657708584960.

The previous prime is 38514974883821. The next prime is 38514974883851. The reversal of 38514974883840 is 4838847941583.

It is a happy number.

38514974883840 is a `hidden beast` number, since 3 + 8 + 5 + 14 + 97 + 488 + 3 + 8 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 195507486622 + ... + 195507486818.

It is an arithmetic number, because the mean of its divisors is an integer number (56678862240).

Almost surely, 2^{38514974883840} is an apocalyptic number.

38514974883840 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 38514974883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87058732400640).

38514974883840 is an abundant number, since it is smaller than the sum of its proper divisors (135602489917440).

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

38514974883840 is a wasteful number, since it uses less digits than its factorization.

38514974883840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 38514974883840 in words is "thirty-eight trillion, five hundred fourteen billion, nine hundred seventy-four million, eight hundred eighty-three thousand, eight hundred forty".