3730141600 has 72 divisors (see below), whose sum is σ = 9115315020. Its totient is φ = 1490565120.

The previous prime is 3730141573. The next prime is 3730141603. The reversal of 3730141600 is 61410373.

3730141600 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 6 ways, for example, as 2604673296 + 1125468304 = 51036^2 + 33548^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3730141603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1160796 + ... + 1164004.

Almost surely, 2^3730141600 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 3730141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557657510).

3730141600 is an abundant number, since it is smaller than the sum of its proper divisors (5385173420).

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

3730141600 is a wasteful number, since it uses less digits than its factorization.

3730141600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4682 (or 4669 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 3730141600 is about 61074.8851820452. The cubic root of 3730141600 is about 1550.8689681724.

Adding to 3730141600 its reverse (61410373), we get a palindrome (3791551973).

The spelling of 3730141600 in words is "three billion, seven hundred thirty million, one hundred forty-one thousand, six hundred".