3768840000 has 630 divisors, whose sum is σ = 14738196330. Its totient is φ = 919296000.

The previous prime is 3768839999. The next prime is 3768840067. The reversal of 3768840000 is 488673.

It can be written as a sum of positive squares in 5 ways, for example, as 1432471104 + 2336368896 = 37848^2 + 48336^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 129959986 + ... + 129960014.

Almost surely, 2^3768840000 is an apocalyptic number.

3768840000 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 3768840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7369098165).

3768840000 is an abundant number, since it is smaller than the sum of its proper divisors (10969356330).

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

3768840000 is a wasteful number, since it uses less digits than its factorization.

3768840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3768840000 is about 61390.8788013333. The cubic root of 3768840000 is about 1556.2136973193.

The spelling of 3768840000 in words is "three billion, seven hundred sixty-eight million, eight hundred forty thousand".