3410902656 has 256 divisors, whose sum is σ = 11569248000. Its totient is φ = 969117696.

The previous prime is 3410902637. The next prime is 3410902673. The reversal of 3410902656 is 6562090143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3410902656.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6700930 + ... + 6701438.

It is an arithmetic number, because the mean of its divisors is an integer number (45192375).

Almost surely, 2^3410902656 is an apocalyptic number.

3410902656 is a gapful number since it is divisible by the number (36) 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 3410902656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5784624000).

3410902656 is an abundant number, since it is smaller than the sum of its proper divisors (8158345344).

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

3410902656 is a wasteful number, since it uses less digits than its factorization.

3410902656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3410902656 is about 58402.9336249473. The cubic root of 3410902656 is about 1505.3001621297.

Adding to 3410902656 its reverse (6562090143), we get a palindrome (9972992799).

The spelling of 3410902656 in words is "three billion, four hundred ten million, nine hundred two thousand, six hundred fifty-six".