3342134400 has 192 divisors, whose sum is σ = 12009276000. Its totient is φ = 810188800.

The previous prime is 3342134309. The next prime is 3342134417. The reversal of 3342134400 is 44312433.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×3342134400² = 22339724695326720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89776 + ... + 121424.

Almost surely, 2^3342134400 is an apocalyptic number.

3342134400 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 3342134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6004638000).

3342134400 is an abundant number, since it is smaller than the sum of its proper divisors (8667141600).

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

3342134400 is a wasteful number, since it uses less digits than its factorization.

3342134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31687 (or 31670 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3342134400 is about 57811.1961474592. The cubic root of 3342134400 is about 1495.1151315308.

Adding to 3342134400 its reverse (44312433), we get a palindrome (3386446833).

The spelling of 3342134400 in words is "three billion, three hundred forty-two million, one hundred thirty-four thousand, four hundred".