3787440000 has 320 divisors, whose sum is σ = 12898871040. Its totient is φ = 983808000.

The previous prime is 3787439983. The next prime is 3787440001. The reversal of 3787440000 is 447873.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3787440001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10319817 + ... + 10320183.

It is an arithmetic number, because the mean of its divisors is an integer number (40308972).

Almost surely, 2^3787440000 is an apocalyptic number.

3787440000 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 3787440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6449435520).

3787440000 is an abundant number, since it is smaller than the sum of its proper divisors (9111431040).

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

3787440000 is an equidigital number, since it uses as much as digits as its factorization.

3787440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 3787440000 is about 61542.1806568471. The cubic root of 3787440000 is about 1558.7695754715.

Adding to 3787440000 its reverse (447873), we get a palindrome (3787887873).

The spelling of 3787440000 in words is "three billion, seven hundred eighty-seven million, four hundred forty thousand".