38782740513600 has 1176 divisors, whose sum is σ = 148080927396608. Its totient is φ = 9982293811200.

The previous prime is 38782740513557. The next prime is 38782740513637. The reversal of 38782740513600 is 631504728783.

It is a happy number.

38782740513600 is a `hidden beast` number, since 3 + 8 + 7 + 8 + 27 + 4 + 0 + 5 + 1 + 3 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 16524387627 + ... + 16524389973.

Almost surely, 2^{38782740513600} is an apocalyptic number.

38782740513600 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 38782740513600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74040463698304).

38782740513600 is an abundant number, since it is smaller than the sum of its proper divisors (109298186883008).

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

38782740513600 is a wasteful number, since it uses less digits than its factorization.

38782740513600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2875 (or 2845 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 38782740513600 in words is "thirty-eight trillion, seven hundred eighty-two billion, seven hundred forty million, five hundred thirteen thousand, six hundred".