3420616410 has 96 divisors (see below), whose sum is σ = 9741597840. Its totient is φ = 828893184.

The previous prime is 3420616399. The next prime is 3420616421. The reversal of 3420616410 is 146160243.

3420616410 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 616 + 41 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3420616399) and next prime (3420616421).

It can be written as a sum of positive squares in 8 ways, for example, as 1507691241 + 1912925169 = 38829^2 + 43737^2 .

It is a super-2 number, since 2×3420616410² = 23401233248722576200, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5824 + ... + 82916.

Almost surely, 2^3420616410 is an apocalyptic number.

3420616410 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 3420616410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4870798920).

3420616410 is an abundant number, since it is smaller than the sum of its proper divisors (6320981430).

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

3420616410 is a wasteful number, since it uses less digits than its factorization.

3420616410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77152 (or 77149 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 3420616410 is about 58486.0360257045. The cubic root of 3420616410 is about 1506.7277663264.

Adding to 3420616410 its reverse (146160243), we get a palindrome (3566776653).

The spelling of 3420616410 in words is "three billion, four hundred twenty million, six hundred sixteen thousand, four hundred ten".