3741445572480 has 1536 divisors, whose sum is σ = 16881679825920. Its totient is φ = 769189478400.

The previous prime is 3741445572463. The next prime is 3741445572481. The reversal of 3741445572480 is 842755441473.

3741445572480 is a `hidden beast` number, since 3 + 7 + 4 + 1 + 4 + 4 + 557 + 2 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3741445572481) 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, 1161577270 + ... + 1161580490.

It is an arithmetic number, because the mean of its divisors is an integer number (10990676970).

Almost surely, 2^{3741445572480} is an apocalyptic number.

3741445572480 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 3741445572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8440839912960).

3741445572480 is an abundant number, since it is smaller than the sum of its proper divisors (13140234253440).

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

3741445572480 is a wasteful number, since it uses less digits than its factorization.

3741445572480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 54.

The spelling of 3741445572480 in words is "three trillion, seven hundred forty-one billion, four hundred forty-five million, five hundred seventy-two thousand, four hundred eighty".