3768820480 has 144 divisors (see below), whose sum is σ = 9473204160. Its totient is φ = 1433862144.

The previous prime is 3768820459. The next prime is 3768820493. The reversal of 3768820480 is 840288673.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 3768820480.

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, 9214516 + ... + 9214924.

It is an arithmetic number, because the mean of its divisors is an integer number (65786140).

Almost surely, 2^3768820480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3768820480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4736602080).

3768820480 is an abundant number, since it is smaller than the sum of its proper divisors (5704383680).

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

3768820480 is a wasteful number, since it uses less digits than its factorization.

3768820480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The square root of 3768820480 is about 61390.7198198555. The cubic root of 3768820480 is about 1556.2110106090.

The spelling of 3768820480 in words is "three billion, seven hundred sixty-eight million, eight hundred twenty thousand, four hundred eighty".