38956346634240 has 1248 divisors, whose sum is σ = 165205243047936. Its totient is φ = 8616833187840.

The previous prime is 38956346634197. The next prime is 38956346634241. The reversal of 38956346634240 is 4243664365983.

38956346634240 is a `hidden beast` number, since 3 + 8 + 9 + 563 + 4 + 6 + 63 + 4 + 2 + 4 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38956346634241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1079912844 + ... + 1079948916.

It is an arithmetic number, because the mean of its divisors is an integer number (132375996032).

Almost surely, 2^{38956346634240} is an apocalyptic number.

38956346634240 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 38956346634240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82602621523968).

38956346634240 is an abundant number, since it is smaller than the sum of its proper divisors (126248896413696).

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

38956346634240 is an equidigital number, since it uses as much as digits as its factorization.

38956346634240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36155 (or 36121 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 63.

The spelling of 38956346634240 in words is "thirty-eight trillion, nine hundred fifty-six billion, three hundred forty-six million, six hundred thirty-four thousand, two hundred forty".