38640838889280 has 224 divisors, whose sum is σ = 127624208860800. Its totient is φ = 9893323890688.

The previous prime is 38640838889273. The next prime is 38640838889299. The reversal of 38640838889280 is 8298883804683.

It is a super-2 number, since 2×38640838889280² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1106374 + ... + 8860346.

Almost surely, 2^{38640838889280} is an apocalyptic number.

38640838889280 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 38640838889280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63812104430400).

38640838889280 is an abundant number, since it is smaller than the sum of its proper divisors (88983369971520).

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

38640838889280 is a wasteful number, since it uses less digits than its factorization.

38640838889280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7754201 (or 7754191 counting only the distinct ones).

The product of its (nonzero) digits is 1019215872, while the sum is 75.

The spelling of 38640838889280 in words is "thirty-eight trillion, six hundred forty billion, eight hundred thirty-eight million, eight hundred eighty-nine thousand, two hundred eighty".