3706440000 has 280 divisors, whose sum is σ = 12464235168. Its totient is φ = 971520000.

The previous prime is 3706439993. The next prime is 3706440013. The reversal of 3706440000 is 446073.

3706440000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8039770 + ... + 8040230.

Almost surely, 2^3706440000 is an apocalyptic number.

3706440000 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 3706440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6232117584).

3706440000 is an abundant number, since it is smaller than the sum of its proper divisors (8757795168).

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

3706440000 is an equidigital number, since it uses as much as digits as its factorization.

3706440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 3706440000 is about 60880.5387623993. The cubic root of 3706440000 is about 1547.5772069462.

Adding to 3706440000 its reverse (446073), we get a palindrome (3706886073).

The spelling of 3706440000 in words is "three billion, seven hundred six million, four hundred forty thousand".