3745455600600 has 720 divisors, whose sum is σ = 15654264357600. Its totient is φ = 826578224640.

The previous prime is 3745455600589. The next prime is 3745455600613. The reversal of 3745455600600 is 60065545473.

3745455600600 is a `hidden beast` number, since 3 + 7 + 45 + 45 + 560 + 0 + 6 + 0 + 0 = 666.

3745455600600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×3745455600600⁴ (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 22938849 + ... + 23101551.

It is an arithmetic number, because the mean of its divisors is an integer number (21742033830).

Almost surely, 2^{3745455600600} is an apocalyptic number.

3745455600600 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 3745455600600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7827132178800).

3745455600600 is an abundant number, since it is smaller than the sum of its proper divisors (11908808757000).

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

3745455600600 is a wasteful number, since it uses less digits than its factorization.

3745455600600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162774 (or 162749 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 3745455600600 in words is "three trillion, seven hundred forty-five billion, four hundred fifty-five million, six hundred thousand, six hundred".