3413202400 has 144 divisors (see below), whose sum is σ = 8580482064. Its totient is φ = 1325076480.

The previous prime is 3413202391. The next prime is 3413202449. The reversal of 3413202400 is 42023143.

3413202400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 10767042 + ... + 10767358.

It is an arithmetic number, because the mean of its divisors is an integer number (59586681).

Almost surely, 2^3413202400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3413202400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4290241032).

3413202400 is an abundant number, since it is smaller than the sum of its proper divisors (5167279664).

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

3413202400 is a wasteful number, since it uses less digits than its factorization.

3413202400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 3413202400 is about 58422.6189074061. The cubic root of 3413202400 is about 1505.6383939347.

Adding to 3413202400 its reverse (42023143), we get a palindrome (3455225543).

The spelling of 3413202400 in words is "three billion, four hundred thirteen million, two hundred two thousand, four hundred".