38645584380 has 240 divisors, whose sum is σ = 131595340800. Its totient is φ = 9437202432.

The previous prime is 38645584379. The next prime is 38645584409. The reversal of 38645584380 is 8348554683.

38645584380 is a `hidden beast` number, since 3 + 8 + 6 + 4 + 558 + 4 + 3 + 80 = 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2667396 + ... + 2681844.

It is an arithmetic number, because the mean of its divisors is an integer number (548313920).

Almost surely, 2^38645584380 is an apocalyptic number.

38645584380 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 38645584380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65797670400).

38645584380 is an abundant number, since it is smaller than the sum of its proper divisors (92949756420).

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

38645584380 is a wasteful number, since it uses less digits than its factorization.

38645584380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14610 (or 14599 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 38645584380 in words is "thirty-eight billion, six hundred forty-five million, five hundred eighty-four thousand, three hundred eighty".