3413413200 has 120 divisors (see below), whose sum is σ = 11000420928. Its totient is φ = 904739840.

The previous prime is 3413413189. The next prime is 3413413217. The reversal of 3413413200 is 23143143.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 191884 + ... + 208916.

Almost surely, 2^3413413200 is an apocalyptic number.

3413413200 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 3413413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5500210464).

3413413200 is an abundant number, since it is smaller than the sum of its proper divisors (7587007728).

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

3413413200 is a wasteful number, since it uses less digits than its factorization.

3413413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17221 (or 17210 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 3413413200 is about 58424.4229753277. The cubic root of 3413413200 is about 1505.6693894635.

Adding to 3413413200 its reverse (23143143), we get a palindrome (3436556343).

The spelling of 3413413200 in words is "three billion, four hundred thirteen million, four hundred thirteen thousand, two hundred".