3350534400 has 162 divisors, whose sum is σ = 11979122610. Its totient is φ = 893460480.

The previous prime is 3350534389. The next prime is 3350534413. The reversal of 3350534400 is 44350533.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 71368704 + 3279165696 = 8448^2 + 57264^2 .

It is a super-2 number, since 2×3350534400² = 22452161531166720000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28516 + ... + 86684.

Almost surely, 2^3350534400 is an apocalyptic number.

3350534400 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 3350534400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5989561305).

3350534400 is an abundant number, since it is smaller than the sum of its proper divisors (8628588210).

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

3350534400 is a wasteful number, since it uses less digits than its factorization.

3350534400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58201 (or 58179 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 27.

The square root of 3350534400 is about 57883.8008427228. The cubic root of 3350534400 is about 1496.3666730627.

Adding to 3350534400 its reverse (44350533), we get a palindrome (3394884933).

The spelling of 3350534400 in words is "three billion, three hundred fifty million, five hundred thirty-four thousand, four hundred".