3768785280 has 512 divisors, whose sum is σ = 15148224000. Its totient is φ = 877879296.

The previous prime is 3768785269. The next prime is 3768785281. The reversal of 3768785280 is 825878673.

3768785280 is a `hidden beast` number, since 37 + 6 + 87 + 8 + 528 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3768785281) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4267719 + ... + 4268601.

It is an arithmetic number, because the mean of its divisors is an integer number (29586375).

Almost surely, 2^3768785280 is an apocalyptic number.

3768785280 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 3768785280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7574112000).

3768785280 is an abundant number, since it is smaller than the sum of its proper divisors (11379438720).

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

3768785280 is a wasteful number, since it uses less digits than its factorization.

3768785280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 943 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 3768785280 is about 61390.4331309040. The cubic root of 3768785280 is about 1556.2061656981.

The spelling of 3768785280 in words is "three billion, seven hundred sixty-eight million, seven hundred eighty-five thousand, two hundred eighty".