3735400000 has 168 divisors, whose sum is σ = 9762500160. Its totient is φ = 1414080000.

The previous prime is 3735399991. The next prime is 3735400093. The reversal of 3735400000 is 45373.

3735400000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3799509 + ... + 3800491.

It is an arithmetic number, because the mean of its divisors is an integer number (58110120).

Almost surely, 2^3735400000 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 3735400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4881250080).

3735400000 is an abundant number, since it is smaller than the sum of its proper divisors (6027100160).

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

3735400000 is an frugal number, since it uses more digits than its factorization.

3735400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 22.

The square root of 3735400000 is about 61117.9188127345. The cubic root of 3735400000 is about 1551.5973820115.

Adding to 3735400000 its reverse (45373), we get a palindrome (3735445373).

The spelling of 3735400000 in words is "three billion, seven hundred thirty-five million, four hundred thousand".