3796690590 has 512 divisors, whose sum is σ = 13430292480. Its totient is φ = 740275200.

The previous prime is 3796690567. The next prime is 3796690591. The reversal of 3796690590 is 950966973.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3796690591) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 27713002 + ... + 27713138.

It is an arithmetic number, because the mean of its divisors is an integer number (26231040).

Almost surely, 2^3796690590 is an apocalyptic number.

3796690590 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3796690590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6715146240).

3796690590 is an abundant number, since it is smaller than the sum of its proper divisors (9633601890).

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

3796690590 is a wasteful number, since it uses less digits than its factorization.

3796690590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The square root of 3796690590 is about 61617.2913231343. The cubic root of 3796690590 is about 1560.0376100400.

The spelling of 3796690590 in words is "three billion, seven hundred ninety-six million, six hundred ninety thousand, five hundred ninety".