3346600400 has 240 divisors, whose sum is σ = 9683005248. Its totient is φ = 1095168000.

The previous prime is 3346600379. The next prime is 3346600417. The reversal of 3346600400 is 40066433.

It is a super-2 number, since 2×3346600400² = 22399468474560320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 3346600400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2344487 + ... + 2345913.

Almost surely, 2^3346600400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3346600400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4841502624).

3346600400 is an abundant number, since it is smaller than the sum of its proper divisors (6336404848).

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

3346600400 is a wasteful number, since it uses less digits than its factorization.

3346600400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The square root of 3346600400 is about 57849.8089884487. The cubic root of 3346600400 is about 1495.7807951863.

Adding to 3346600400 its reverse (40066433), we get a palindrome (3386666833).

The spelling of 3346600400 in words is "three billion, three hundred forty-six million, six hundred thousand, four hundred".