3380810400 has 1008 divisors, whose sum is σ = 14754555648. Its totient is φ = 746496000.

The previous prime is 3380810393. The next prime is 3380810437. The reversal of 3380810400 is 40180833.

It is a super-2 number, since 2×3380810400² = 22859757921496320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 109058385 + ... + 109058415.

It is an arithmetic number, because the mean of its divisors is an integer number (14637456).

Almost surely, 2^3380810400 is an apocalyptic number.

3380810400 is a gapful number since it is divisible by the number (30) 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 3380810400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7377277824).

3380810400 is an abundant number, since it is smaller than the sum of its proper divisors (11373745248).

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

3380810400 is a wasteful number, since it uses less digits than its factorization.

3380810400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3380810400 is about 58144.7366491585. The cubic root of 3380810400 is about 1500.8603064875.

The spelling of 3380810400 in words is "three billion, three hundred eighty million, eight hundred ten thousand, four hundred".