3745497600 has 720 divisors, whose sum is σ = 15029678664. Its totient is φ = 884736000.

The previous prime is 3745497563. The next prime is 3745497611. The reversal of 3745497600 is 67945473.

3745497600 is a `hidden beast` number, since 37 + 4 + 5 + 4 + 9 + 7 + 600 = 666.

3745497600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 952586496 + 2792911104 = 30864^2 + 52848^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61401570 + ... + 61401630.

Almost surely, 2^3745497600 is an apocalyptic number.

3745497600 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 3745497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7514839332).

3745497600 is an abundant number, since it is smaller than the sum of its proper divisors (11284181064).

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

3745497600 is a wasteful number, since it uses less digits than its factorization.

3745497600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3745497600 is about 61200.4705864260. The cubic root of 3745497600 is about 1552.9942260277.

The spelling of 3745497600 in words is "three billion, seven hundred forty-five million, four hundred ninety-seven thousand, six hundred".