38357749946880 has 3200 divisors, whose sum is σ = 182196914651136. Its totient is φ = 7488847872000.

The previous prime is 38357749946843. The next prime is 38357749946897. The reversal of 38357749946880 is 8864994775383.

It is a happy number.

38357749946880 is a `hidden beast` number, since 3 + 8 + 3 + 5 + 7 + 7 + 499 + 46 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 38357749946880.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 13454137455 + ... + 13454140305.

Almost surely, 2^{38357749946880} is an apocalyptic number.

38357749946880 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 38357749946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91098457325568).

38357749946880 is an abundant number, since it is smaller than the sum of its proper divisors (143839164704256).

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

38357749946880 is a wasteful number, since it uses less digits than its factorization.

38357749946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2960 (or 2935 counting only the distinct ones).

The product of its (nonzero) digits is 8778792960, while the sum is 81.

The spelling of 38357749946880 in words is "thirty-eight trillion, three hundred fifty-seven billion, seven hundred forty-nine million, nine hundred forty-six thousand, eight hundred eighty".