3790441746 has 288 divisors, whose sum is σ = 10994780160. Its totient is φ = 932746752.

The previous prime is 3790441741. The next prime is 3790441747. The reversal of 3790441746 is 6471440973.

3790441746 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3790441741) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 27667390 + ... + 27667526.

It is an arithmetic number, because the mean of its divisors is an integer number (38176320).

Almost surely, 2^3790441746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3790441746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5497390080).

3790441746 is an abundant number, since it is smaller than the sum of its proper divisors (7204338414).

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

3790441746 is a wasteful number, since it uses less digits than its factorization.

3790441746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3790441746 is about 61566.5635389860. The cubic root of 3790441746 is about 1559.1812691006.

The spelling of 3790441746 in words is "three billion, seven hundred ninety million, four hundred forty-one thousand, seven hundred forty-six".