3788531940 has 192 divisors, whose sum is σ = 11802599424. Its totient is φ = 903124992.

The previous prime is 3788531927. The next prime is 3788531959. The reversal of 3788531940 is 491358873.

It is a self number, because there is not a number n which added to its sum of digits gives 3788531940.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3917337 + ... + 3918303.

It is an arithmetic number, because the mean of its divisors is an integer number (61471872).

Almost surely, 2^3788531940 is an apocalyptic number.

3788531940 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 3788531940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5901299712).

3788531940 is an abundant number, since it is smaller than the sum of its proper divisors (8014067484).

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

3788531940 is a wasteful number, since it uses less digits than its factorization.

3788531940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 3788531940 is about 61551.0514938616. The cubic root of 3788531940 is about 1558.9193617214.

The spelling of 3788531940 in words is "three billion, seven hundred eighty-eight million, five hundred thirty-one thousand, nine hundred forty".