3407416352 has 54 divisors (see below), whose sum is σ = 7137931437. Its totient is φ = 1600848384.

The previous prime is 3407416349. The next prime is 3407416399. The reversal of 3407416352 is 2536147043.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 3118552336 + 288864016 = 55844^2 + 16996^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=41276.

It is a super-2 number, since 2×3407416352² = 23220972391753975808, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5613233 + ... + 5613839.

Almost surely, 2^3407416352 is an apocalyptic number.

3407416352 is a gapful number since it is divisible by the number (32) 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 3407416352

3407416352 is an abundant number, since it is smaller than the sum of its proper divisors (3730515085).

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

3407416352 is an frugal number, since it uses more digits than its factorization.

3407416352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

The square root of 3407416352 is about 58373.0790005119. The cubic root of 3407416352 is about 1504.7871285329.

The spelling of 3407416352 in words is "three billion, four hundred seven million, four hundred sixteen thousand, three hundred fifty-two".