38289928412736 has 5376 divisors, whose sum is σ = 171351244800000. Its totient is φ = 8274012364800.

The previous prime is 38289928412707. The next prime is 38289928412741. The reversal of 38289928412736 is 63721482998283.

38289928412736 is a `hidden beast` number, since 3 + 82 + 89 + 9 + 28 + 412 + 7 + 36 = 666.

It is a super-2 number, since 2×38289928412736² (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 nude number because it is divisible by every one of its digits.

It is a congruent number.

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 767 ways as a sum of consecutive naturals, for example, 648981837475 + ... + 648981837533.

Almost surely, 2^{38289928412736} is an apocalyptic number.

38289928412736 is a gapful number since it is divisible by the number (36) 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 38289928412736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85675622400000).

38289928412736 is an abundant number, since it is smaller than the sum of its proper divisors (133061316387264).

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

38289928412736 is a wasteful number, since it uses less digits than its factorization.

38289928412736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 145 counting only the distinct ones).

The product of its digits is 501645312, while the sum is 72.

The spelling of 38289928412736 in words is "thirty-eight trillion, two hundred eighty-nine billion, nine hundred twenty-eight million, four hundred twelve thousand, seven hundred thirty-six".