3745540770048 has 2304 divisors, whose sum is σ = 15032328192000. Its totient is φ = 910393344000.

The previous prime is 3745540770047. The next prime is 3745540770113. The reversal of 3745540770048 is 8400770455473.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a junction number, because it is equal to n+sod(n) for n = 3745540769976 and 3745540770003.

It is not an unprimeable number, because it can be changed into a prime (3745540770043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 33146378440 + ... + 33146378552.

It is an arithmetic number, because the mean of its divisors is an integer number (6524448000).

Almost surely, 2^{3745540770048} 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 3745540770048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7516164096000).

3745540770048 is an abundant number, since it is smaller than the sum of its proper divisors (11286787421952).

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

3745540770048 is a wasteful number, since it uses less digits than its factorization.

3745540770048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 13171200, while the sum is 54.

The spelling of 3745540770048 in words is "three trillion, seven hundred forty-five billion, five hundred forty million, seven hundred seventy thousand, forty-eight".