3790288320 has 448 divisors, whose sum is σ = 15170749440. Its totient is φ = 780337152.

The previous prime is 3790288291. The next prime is 3790288343. The reversal of 3790288320 is 238820973.

3790288320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2018 × 1118 × 1680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3755976 + ... + 3756984.

It is an arithmetic number, because the mean of its divisors is an integer number (33863280).

Almost surely, 2^3790288320 is an apocalyptic number.

3790288320 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 3790288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7585374720).

3790288320 is an abundant number, since it is smaller than the sum of its proper divisors (11380461120).

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

3790288320 is a wasteful number, since it uses less digits than its factorization.

3790288320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 3790288320 is about 61565.3175091301. The cubic root of 3790288320 is about 1559.1602317837.

The spelling of 3790288320 in words is "three billion, seven hundred ninety million, two hundred eighty-eight thousand, three hundred twenty".