3768733440 has 144 divisors (see below), whose sum is σ = 13373892000. Its totient is φ = 1004986368.

The previous prime is 3768733421. The next prime is 3768733469. The reversal of 3768733440 is 443378673.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19965 + ... + 89084.

It is an arithmetic number, because the mean of its divisors is an integer number (92874250).

Almost surely, 2^3768733440 is an apocalyptic number.

3768733440 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 3768733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6686946000).

3768733440 is an abundant number, since it is smaller than the sum of its proper divisors (9605158560).

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

3768733440 is a wasteful number, since it uses less digits than its factorization.

3768733440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109079 (or 109059 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The square root of 3768733440 is about 61390.0109138286. The cubic root of 3768733440 is about 1556.1990304108.

The spelling of 3768733440 in words is "three billion, seven hundred sixty-eight million, seven hundred thirty-three thousand, four hundred forty".