38941348992000 has 1056 divisors, whose sum is σ = 162273792844800. Its totient is φ = 8216145100800.

The previous prime is 38941348991969. The next prime is 38941348992043. The reversal of 38941348992000 is 29984314983.

It is a super-3 number, since 3×38941348992000³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 244528401 + ... + 244687599.

Almost surely, 2^{38941348992000} is an apocalyptic number.

38941348992000 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 38941348992000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81136896422400).

38941348992000 is an abundant number, since it is smaller than the sum of its proper divisors (123332443852800).

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

38941348992000 is a wasteful number, since it uses less digits than its factorization.

38941348992000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159264 (or 159229 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 60.

The spelling of 38941348992000 in words is "thirty-eight trillion, nine hundred forty-one billion, three hundred forty-eight million, nine hundred ninety-two thousand".