3732542400000 has 480 divisors, whose sum is σ = 13083332613120. Its totient is φ = 942935040000.

The previous prime is 3732542399987. The next prime is 3732542400023. The reversal of 3732542400000 is 42452373.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91179537 + ... + 91220463.

It is an arithmetic number, because the mean of its divisors is an integer number (27256942944).

Almost surely, 2^{3732542400000} is an apocalyptic number.

3732542400000 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 3732542400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6541666306560).

3732542400000 is an abundant number, since it is smaller than the sum of its proper divisors (9350790213120).

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

3732542400000 is an frugal number, since it uses more digits than its factorization.

3732542400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40992 (or 40956 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 30.

Adding to 3732542400000 its reverse (42452373), we get a palindrome (3732584852373).

The spelling of 3732542400000 in words is "three trillion, seven hundred thirty-two billion, five hundred forty-two million, four hundred thousand".