3745175649600 has 672 divisors, whose sum is σ = 15335175628800. Its totient is φ = 777408307200.

The previous prime is 3745175649517. The next prime is 3745175649601. The reversal of 3745175649600 is 69465715473.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3745175649601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 395097661 + ... + 395107139.

Almost surely, 2^{3745175649600} is an apocalyptic number.

3745175649600 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 3745175649600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7667587814400).

3745175649600 is an abundant number, since it is smaller than the sum of its proper divisors (11589999979200).

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

3745175649600 is a wasteful number, since it uses less digits than its factorization.

3745175649600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10591 (or 10576 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 57.

The spelling of 3745175649600 in words is "three trillion, seven hundred forty-five billion, one hundred seventy-five million, six hundred forty-nine thousand, six hundred".