38542152328800 has 144 divisors (see below), whose sum is σ = 126442539159552. Its totient is φ = 10196978803200.

The previous prime is 38542152328781. The next prime is 38542152328811. The reversal of 38542152328800 is 882325124583.

It is a super-2 number, since 2×38542152328800² (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 23 ways as a sum of consecutive naturals, for example, 62920516 + ... + 63530115.

It is an arithmetic number, because the mean of its divisors is an integer number (878073188608).

Almost surely, 2^{38542152328800} is an apocalyptic number.

38542152328800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38542152328800 is an abundant number, since it is smaller than the sum of its proper divisors (87900386830752).

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

38542152328800 is a wasteful number, since it uses less digits than its factorization.

38542152328800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126450781 (or 126450768 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 51.

The spelling of 38542152328800 in words is "thirty-eight trillion, five hundred forty-two billion, one hundred fifty-two million, three hundred twenty-eight thousand, eight hundred".