3788953740 has 384 divisors, whose sum is σ = 13987814400. Its totient is φ = 839393280.

The previous prime is 3788953717. The next prime is 3788953747. The reversal of 3788953740 is 473598873.

3788953740 is digitally balanced in base 2 and base 4, because in such bases 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 (54).

It is not an unprimeable number, because it can be changed into a prime (3788953747) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10733404 + ... + 10733756.

It is an arithmetic number, because the mean of its divisors is an integer number (36426600).

Almost surely, 2^3788953740 is an apocalyptic number.

3788953740 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 3788953740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6993907200).

3788953740 is an abundant number, since it is smaller than the sum of its proper divisors (10198860660).

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

3788953740 is a wasteful number, since it uses less digits than its factorization.

3788953740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 3788953740 is about 61554.4778224948. The cubic root of 3788953740 is about 1558.9772141909.

The spelling of 3788953740 in words is "three billion, seven hundred eighty-eight million, nine hundred fifty-three thousand, seven hundred forty".