3516630390 has 576 divisors, whose sum is σ = 12697251840. Its totient is φ = 680244480.

The previous prime is 3516630349. The next prime is 3516630413. The reversal of 3516630390 is 930366153.

3516630390 is a `hidden beast` number, since 3 + 5 + 16 + 630 + 3 + 9 + 0 = 666.

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 113439675 + ... + 113439705.

It is an arithmetic number, because the mean of its divisors is an integer number (22043840).

It is a vampire number, since it can be written as 53010 ⋅ 66339 (with its own digits).

Almost surely, 2^3516630390 is an apocalyptic number.

3516630390 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 3516630390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6348625920).

3516630390 is an abundant number, since it is smaller than the sum of its proper divisors (9180621450).

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

3516630390 is a wasteful number, since it uses less digits than its factorization.

3516630390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 3516630390 is about 59301.1837149985. The cubic root of 3516630390 is about 1520.6954328724.

It can be divided in two parts, 35166 and 30390, that added together give a palindrome (65556).

The spelling of 3516630390 in words is "three billion, five hundred sixteen million, six hundred thirty thousand, three hundred ninety".