38342901104640 has 1600 divisors, whose sum is σ = 158484288499200. Its totient is φ = 8806025134080.

The previous prime is 38342901104591. The next prime is 38342901104699. The reversal of 38342901104640 is 4640110924383.

38342901104640 is a `hidden beast` number, since 3 + 83 + 429 + 0 + 1 + 104 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2018047426551 + ... + 2018047426569.

It is an arithmetic number, because the mean of its divisors is an integer number (99052680312).

Almost surely, 2^{38342901104640} is an apocalyptic number.

38342901104640 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 38342901104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79242144249600).

38342901104640 is an abundant number, since it is smaller than the sum of its proper divisors (120141387394560).

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

38342901104640 is an frugal number, since it uses more digits than its factorization.

38342901104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 38342901104640 in words is "thirty-eight trillion, three hundred forty-two billion, nine hundred one million, one hundred four thousand, six hundred forty".