38829699362880 has 420 divisors, whose sum is σ = 145776410059500. Its totient is φ = 9809605896192.

The previous prime is 38829699362863. The next prime is 38829699362893. The reversal of 38829699362880 is 8826399692883.

38829699362880 is a `hidden beast` number, since 3 + 8 + 8 + 2 + 96 + 99 + 362 + 8 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5770603275264 + 33059096087616 = 2402208^2 + 5749704^2 .

It is a super-2 number, since 2×38829699362880² (a number of 28 digits) contains 22 as substring.

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 38829699362880.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7282246 + ... + 11431994.

Almost surely, 2^{38829699362880} is an apocalyptic number.

38829699362880 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 38829699362880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72888205029750).

38829699362880 is an abundant number, since it is smaller than the sum of its proper divisors (106946710696620).

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

38829699362880 is a wasteful number, since it uses less digits than its factorization.

38829699362880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4149816 (or 4149778 counting only the distinct ones).

The product of its (nonzero) digits is 3869835264, while the sum is 81.

The spelling of 38829699362880 in words is "thirty-eight trillion, eight hundred twenty-nine billion, six hundred ninety-nine million, three hundred sixty-two thousand, eight hundred eighty".