3790712240 has 160 divisors (see below), whose sum is σ = 10576465920. Its totient is φ = 1236096000.

The previous prime is 3790712239. The next prime is 3790712273. The reversal of 3790712240 is 422170973.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 3790712240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1022390 + ... + 1026090.

It is an arithmetic number, because the mean of its divisors is an integer number (66102912).

Almost surely, 2^3790712240 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 3790712240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5288232960).

3790712240 is an abundant number, since it is smaller than the sum of its proper divisors (6785753680).

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

3790712240 is a wasteful number, since it uses less digits than its factorization.

3790712240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3811 (or 3805 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 3790712240 is about 61568.7602603788. The cubic root of 3790712240 is about 1559.2183570510.

The spelling of 3790712240 in words is "three billion, seven hundred ninety million, seven hundred twelve thousand, two hundred forty".