3746534400000 has 2016 divisors, whose sum is σ = 16291850754816. Its totient is φ = 811008000000.

The previous prime is 3746534399987. The next prime is 3746534400073. The reversal of 3746534400000 is 44356473.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 37094399950 + ... + 37094400050.

It is an arithmetic number, because the mean of its divisors is an integer number (8081275176).

Almost surely, 2^{3746534400000} is an apocalyptic number.

3746534400000 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 3746534400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8145925377408).

3746534400000 is an abundant number, since it is smaller than the sum of its proper divisors (12545316354816).

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

3746534400000 is an equidigital number, since it uses as much as digits as its factorization.

3746534400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

Adding to 3746534400000 its reverse (44356473), we get a palindrome (3746578756473).

The spelling of 3746534400000 in words is "three trillion, seven hundred forty-six billion, five hundred thirty-four million, four hundred thousand".