3345834600 has 240 divisors, whose sum is σ = 12305155500. Its totient is φ = 839669760.

The previous prime is 3345834589. The next prime is 3345834607. The reversal of 3345834600 is 64385433.

3345834600 is a `hidden beast` number, since 3 + 3 + 45 + 8 + 3 + 4 + 600 = 666.

3345834600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2711701476 + 634133124 = 52074^2 + 25182^2 .

It is a super-2 number, since 2×3345834600² = 22389218341114320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3345834607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 269326 + ... + 281474.

Almost surely, 2^3345834600 is an apocalyptic number.

3345834600 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 3345834600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6152577750).

3345834600 is an abundant number, since it is smaller than the sum of its proper divisors (8959320900).

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

3345834600 is a wasteful number, since it uses less digits than its factorization.

3345834600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12194 (or 12176 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3345834600 is about 57843.1897460712. The cubic root of 3345834600 is about 1495.6666936923. Note that the first 4 decimals are identical.

The spelling of 3345834600 in words is "three billion, three hundred forty-five million, eight hundred thirty-four thousand, six hundred".