3789008640 has 216 divisors, whose sum is σ = 13416202800. Its totient is φ = 986775552.

The previous prime is 3789008611. The next prime is 3789008647. The reversal of 3789008640 is 468009873.

It is a happy number.

3789008640 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3789008647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 491536 + ... + 499184.

It is an arithmetic number, because the mean of its divisors is an integer number (62112050).

Almost surely, 2^3789008640 is an apocalyptic number.

3789008640 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 3789008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6708101400).

3789008640 is an abundant number, since it is smaller than the sum of its proper divisors (9627194160).

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

3789008640 is a wasteful number, since it uses less digits than its factorization.

3789008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7719 (or 7702 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 3789008640 is about 61554.9237673153. The cubic root of 3789008640 is about 1558.9847437484.

The spelling of 3789008640 in words is "three billion, seven hundred eighty-nine million, eight thousand, six hundred forty".