3410094816 has 216 divisors, whose sum is σ = 10525558680. Its totient is φ = 1085965056.

The previous prime is 3410094799. The next prime is 3410094841. The reversal of 3410094816 is 6184900143.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×3410094816² = 23257493308220147712, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4113090 + ... + 4113918.

Almost surely, 2^3410094816 is an apocalyptic number.

3410094816 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 3410094816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5262779340).

3410094816 is an abundant number, since it is smaller than the sum of its proper divisors (7115463864).

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

3410094816 is an equidigital number, since it uses as much as digits as its factorization.

3410094816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3410094816 is about 58396.0171244581. The cubic root of 3410094816 is about 1505.1813140494.

Adding to 3410094816 its reverse (6184900143), we get a palindrome (9594994959).

The spelling of 3410094816 in words is "three billion, four hundred ten million, ninety-four thousand, eight hundred sixteen".