3788007340 has 96 divisors (see below), whose sum is σ = 8724602880. Its totient is φ = 1373089536.

The previous prime is 3788007313. The next prime is 3788007389. The reversal of 3788007340 is 437008873.

3788007340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3788007293 and 3788007302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4580007 + ... + 4580833.

It is an arithmetic number, because the mean of its divisors is an integer number (90881280).

Almost surely, 2^3788007340 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 3788007340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362301440).

3788007340 is an abundant number, since it is smaller than the sum of its proper divisors (4936595540).

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

3788007340 is a wasteful number, since it uses less digits than its factorization.

3788007340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The square root of 3788007340 is about 61546.7898431754. The cubic root of 3788007340 is about 1558.8474036067.

The spelling of 3788007340 in words is "three billion, seven hundred eighty-eight million, seven thousand, three hundred forty".