3790624840 has 32 divisors (see below), whose sum is σ = 8759420280. Its totient is φ = 1475269632.

The previous prime is 3790624823. The next prime is 3790624843. The reversal of 3790624840 is 484260973.

It can be written as a sum of positive squares in 4 ways, for example, as 3506297796 + 284327044 = 59214^2 + 16862^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3790624843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1279137 + ... + 1282096.

Almost surely, 2^3790624840 is an apocalyptic number.

It is an amenable number.

3790624840 is an abundant number, since it is smaller than the sum of its proper divisors (4968795440).

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

3790624840 is a wasteful number, since it uses less digits than its factorization.

3790624840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2561281 (or 2561277 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 3790624840 is about 61568.0504807485. The cubic root of 3790624840 is about 1559.2063736626.

The spelling of 3790624840 in words is "three billion, seven hundred ninety million, six hundred twenty-four thousand, eight hundred forty".