3738400000 has 108 divisors (see below), whose sum is σ = 9329145084. Its totient is φ = 1495040000.

The previous prime is 3738399979. The next prime is 3738400009. The reversal of 3738400000 is 48373.

3738400000 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 2110116096 + 1628283904 = 45936^2 + 40352^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3738400009) 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, 797664 + ... + 802336.

It is an arithmetic number, because the mean of its divisors is an integer number (86380973).

Almost surely, 2^3738400000 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 3738400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4664572542).

3738400000 is an abundant number, since it is smaller than the sum of its proper divisors (5590745084).

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

3738400000 is an frugal number, since it uses more digits than its factorization.

3738400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4714 (or 4680 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 3738400000 is about 61142.4566074998. The cubic root of 3738400000 is about 1552.0126473621.

Adding to 3738400000 its reverse (48373), we get a palindrome (3738448373).

The spelling of 3738400000 in words is "three billion, seven hundred thirty-eight million, four hundred thousand".