3742733348800 has 336 divisors, whose sum is σ = 9423568554400. Its totient is φ = 1462833561600.

The previous prime is 3742733348789. The next prime is 3742733348833. The reversal of 3742733348800 is 88433372473.

It is a super-2 number, since 2×3742733348800² (a number of 26 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 47 ways as a sum of consecutive naturals, for example, 4387729174 + ... + 4387730026.

Almost surely, 2^{3742733348800} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3742733348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4711784277200).

3742733348800 is an abundant number, since it is smaller than the sum of its proper divisors (5680835205600).

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

3742733348800 is a wasteful number, since it uses less digits than its factorization.

3742733348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 52.

The spelling of 3742733348800 in words is "three trillion, seven hundred forty-two billion, seven hundred thirty-three million, three hundred forty-eight thousand, eight hundred".