3791480625 has 45 divisors (see below), whose sum is σ = 6851884039. Its totient is φ = 2019660000.

The previous prime is 3791480569. The next prime is 3791480633. The reversal of 3791480625 is 5260841973.

The square root of 3791480625 is 61575.

It is a perfect power (a square), and thus also a powerful number.

3791480625 is a `hidden beast` number, since 3 + 7 + 9 + 14 + 8 + 0 + 625 = 666.

3791480625 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 3529429281 + 262051344 = 59409^2 + 16188^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 3791480625 - 2⁹ = 3791480113 is a prime.

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

It is a Duffinian number.

3791480625 is strictly pandigital in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4617715 + ... + 4618535.

It is a 1-persistent number, because it is pandigital, but 2⋅3791480625 = 7582961250 is not.

Almost surely, 2^3791480625 is an apocalyptic number.

3791480625 is the 61575-th square number.

3791480625 is the 30788-th centered octagonal number.

It is an amenable number.

3791480625 is a deficient number, since it is larger than the sum of its proper divisors (3060403414).

3791480625 is an frugal number, since it uses more digits than its factorization.

3791480625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The cubic root of 3791480625 is about 1559.3237021664.

It can be divided in two parts, 3791 and 480625, that added together give a square (484416 = 696²).

The spelling of 3791480625 in words is "three billion, seven hundred ninety-one million, four hundred eighty thousand, six hundred twenty-five".