3333441600 has 630 divisors, whose sum is σ = 13162296510. Its totient is φ = 827228160.

The previous prime is 3333441599. The next prime is 3333441613. The reversal of 3333441600 is 61443333.

It can be written as a sum of positive squares in 9 ways, for example, as 517653504 + 2815788096 = 22752^2 + 53064^2 .

It is a super-2 number, since 2×3333441600² = 22223665801221120000, 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 polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 37454356 + ... + 37454444.

Almost surely, 2^3333441600 is an apocalyptic number.

3333441600 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 3333441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6581148255).

3333441600 is an abundant number, since it is smaller than the sum of its proper divisors (9828854910).

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

3333441600 is a wasteful number, since it uses less digits than its factorization.

3333441600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 3333441600 is about 57735.9645281864. The cubic root of 3333441600 is about 1493.8177549024.

Adding to 3333441600 its reverse (61443333), we get a palindrome (3394884933).

The spelling of 3333441600 in words is "three billion, three hundred thirty-three million, four hundred forty-one thousand, six hundred".