3792882240 has 1008 divisors, whose sum is σ = 17067824640. Its totient is φ = 789626880.

The previous prime is 3792882221. The next prime is 3792882241. The reversal of 3792882240 is 422882973.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3792882241) 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 143 ways as a sum of consecutive naturals, for example, 122351025 + ... + 122351055.

Almost surely, 2^3792882240 is an apocalyptic number.

3792882240 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 3792882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8533912320).

3792882240 is an abundant number, since it is smaller than the sum of its proper divisors (13274942400).

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

3792882240 is a wasteful number, since it uses less digits than its factorization.

3792882240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3792882240 is about 61586.3803125334. The cubic root of 3792882240 is about 1559.5158260749.

The spelling of 3792882240 in words is "three billion, seven hundred ninety-two million, eight hundred eighty-two thousand, two hundred forty".