3743538210720 has 3456 divisors, whose sum is σ = 18176761774080. Its totient is φ = 709469798400.

The previous prime is 3743538210673. The next prime is 3743538210721. The reversal of 3743538210720 is 270128353473.

It is a happy number.

3743538210720 is a `hidden beast` number, since 3 + 7 + 4 + 3 + 538 + 2 + 107 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3743538210721) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 19396570944 + ... + 19396571136.

It is an arithmetic number, because the mean of its divisors is an integer number (5259479680).

Almost surely, 2^{3743538210720} is an apocalyptic number.

3743538210720 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 3743538210720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9088380887040).

3743538210720 is an abundant number, since it is smaller than the sum of its proper divisors (14433223563360).

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

3743538210720 is a wasteful number, since it uses less digits than its factorization.

3743538210720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 3743538210720 in words is "three trillion, seven hundred forty-three billion, five hundred thirty-eight million, two hundred ten thousand, seven hundred twenty".