3745475354880 has 1440 divisors, whose sum is σ = 16087282573824. Its totient is φ = 813525368832.

The previous prime is 3745475354869. The next prime is 3745475354909. The reversal of 3745475354880 is 884535745473.

It is a happy number.

3745475354880 is a `hidden beast` number, since 3 + 7 + 4 + 5 + 4 + 7 + 5 + 3 + 548 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2887798392 + ... + 2887799688.

Almost surely, 2^{3745475354880} is an apocalyptic number.

3745475354880 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 3745475354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043641286912).

3745475354880 is an abundant number, since it is smaller than the sum of its proper divisors (12341807218944).

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

3745475354880 is a wasteful number, since it uses less digits than its factorization.

3745475354880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 225792000, while the sum is 63.

The spelling of 3745475354880 in words is "three trillion, seven hundred forty-five billion, four hundred seventy-five million, three hundred fifty-four thousand, eight hundred eighty".