3783763984 has 240 divisors, whose sum is σ = 10489150080. Its totient is φ = 1279549440.

The previous prime is 3783763957. The next prime is 3783764011. The reversal of 3783763984 is 4893673873.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3783763957) and next prime (3783764011).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3539002 + ... + 3540070.

It is an arithmetic number, because the mean of its divisors is an integer number (43704792).

Almost surely, 2^3783763984 is an apocalyptic number.

3783763984 is a gapful number since it is divisible by the number (34) 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 3783763984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5244575040).

3783763984 is an abundant number, since it is smaller than the sum of its proper divisors (6705386096).

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

3783763984 is a wasteful number, since it uses less digits than its factorization.

3783763984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1138 (or 1119 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 58.

The square root of 3783763984 is about 61512.3075814914. The cubic root of 3783763984 is about 1558.2651083619.

It can be divided in two parts, 3783 and 763984, that added together give a palindrome (767767).

The spelling of 3783763984 in words is "three billion, seven hundred eighty-three million, seven hundred sixty-three thousand, nine hundred eighty-four".