3334730400 has 108 divisors (see below), whose sum is σ = 11759118462. Its totient is φ = 889259520.

The previous prime is 3334730381. The next prime is 3334730401. The reversal of 3334730400 is 40374333.

It can be written as a sum of positive squares in 3 ways, for example, as 3190442256 + 144288144 = 56484^2 + 12012^2 .

It is a super-2 number, since 2×3334730400² = 22240853681368320000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3334730401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 224379 + ... + 238778.

Almost surely, 2^3334730400 is an apocalyptic number.

3334730400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3334730400 is an abundant number, since it is smaller than the sum of its proper divisors (8424388062).

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

3334730400 is a wasteful number, since it uses less digits than its factorization.

3334730400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463183 (or 463167 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 27.

The square root of 3334730400 is about 57747.1246037411. The cubic root of 3334730400 is about 1494.0102470763.

The spelling of 3334730400 in words is "three billion, three hundred thirty-four million, seven hundred thirty thousand, four hundred".