38289887447040 has 576 divisors, whose sum is σ = 140549435470080. Its totient is φ = 9993358540800.

The previous prime is 38289887446927. The next prime is 38289887447059. The reversal of 38289887447040 is 4074478898283.

It is a happy number.

38289887447040 is a `hidden beast` number, since 3 + 8 + 2 + 8 + 9 + 88 + 74 + 470 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×38289887447040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 38289887447040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116787340 + ... + 117114740.

It is an arithmetic number, because the mean of its divisors is an integer number (244009436580).

Almost surely, 2^{38289887447040} is an apocalyptic number.

38289887447040 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 38289887447040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70274717735040).

38289887447040 is an abundant number, since it is smaller than the sum of its proper divisors (102259548023040).

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

38289887447040 is an equidigital number, since it uses as much as digits as its factorization.

38289887447040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327490 (or 327458 counting only the distinct ones).

The product of its (nonzero) digits is 693633024, while the sum is 72.

The spelling of 38289887447040 in words is "thirty-eight trillion, two hundred eighty-nine billion, eight hundred eighty-seven million, four hundred forty-seven thousand, forty".