38954317832640 has 448 divisors, whose sum is σ = 159265960888320. Its totient is φ = 8778436853760.

The previous prime is 38954317832621. The next prime is 38954317832657. The reversal of 38954317832640 is 4623871345983.

It is a happy number.

38954317832640 is a `hidden beast` number, since 3 + 8 + 9 + 54 + 317 + 8 + 3 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 241737 + ... + 8829896.

It is a 1-persistent number, because it is pandigital, but 2⋅38954317832640 = 77908635665280 is not.

Almost surely, 2^{38954317832640} is an apocalyptic number.

38954317832640 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 38954317832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79632980444160).

38954317832640 is an abundant number, since it is smaller than the sum of its proper divisors (120311643055680).

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

38954317832640 is a wasteful number, since it uses less digits than its factorization.

38954317832640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9071737 (or 9071721 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 38954317832640 in words is "thirty-eight trillion, nine hundred fifty-four billion, three hundred seventeen million, eight hundred thirty-two thousand, six hundred forty".