3743445271104 has 1344 divisors, whose sum is σ = 14670101053440. Its totient is φ = 914300006400.

The previous prime is 3743445270977. The next prime is 3743445271109. The reversal of 3743445271104 is 4011725443473.

3743445271104 is a `hidden beast` number, since 3 + 7 + 4 + 3 + 4 + 4 + 527 + 110 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a self number, because there is not a number n which added to its sum of digits gives 3743445271104.

It is not an unprimeable number, because it can be changed into a prime (3743445271109) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2053452337 + ... + 2053454159.

It is an arithmetic number, because the mean of its divisors is an integer number (10915253760).

Almost surely, 2^{3743445271104} 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 3743445271104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7335050526720).

3743445271104 is an abundant number, since it is smaller than the sum of its proper divisors (10926655782336).

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

3743445271104 is a wasteful number, since it uses less digits than its factorization.

3743445271104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 3743445271104 in words is "three trillion, seven hundred forty-three billion, four hundred forty-five million, two hundred seventy-one thousand, one hundred four".