38541312000 has 960 divisors, whose sum is σ = 154576356480. Its totient is φ = 9437184000.

The previous prime is 38541311993. The next prime is 38541312023. The reversal of 38541312000 is 21314583.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 940031980 + ... + 940032020.

It is an arithmetic number, because the mean of its divisors is an integer number (161017038).

Almost surely, 2^38541312000 is an apocalyptic number.

38541312000 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 38541312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77288178240).

38541312000 is an abundant number, since it is smaller than the sum of its proper divisors (116035044480).

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

38541312000 is an equidigital number, since it uses as much as digits as its factorization.

38541312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 38541312000 its reverse (21314583), we get a palindrome (38562626583).

The spelling of 38541312000 in words is "thirty-eight billion, five hundred forty-one million, three hundred twelve thousand".