3745104006672 has 240 divisors, whose sum is σ = 12083863309440. Its totient is φ = 1060649054208.

The previous prime is 3745104006647. The next prime is 3745104006673. The reversal of 3745104006672 is 2766004015473.

3745104006672 is a `hidden beast` number, since 3 + 7 + 4 + 510 + 4 + 0 + 0 + 66 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (3745104006673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52363128 + ... + 52434600.

It is an arithmetic number, because the mean of its divisors is an integer number (50349430456).

Almost surely, 2^{3745104006672} 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 3745104006672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6041931654720).

3745104006672 is an abundant number, since it is smaller than the sum of its proper divisors (8338759302768).

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

3745104006672 is a wasteful number, since it uses less digits than its factorization.

3745104006672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71950 (or 71941 counting only the distinct ones).

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

The spelling of 3745104006672 in words is "three trillion, seven hundred forty-five billion, one hundred four million, six thousand, six hundred seventy-two".