3413234400 has 144 divisors (see below), whose sum is σ = 11220875568. Its totient is φ = 901120000.

The previous prime is 3413234389. The next prime is 3413234401. The reversal of 3413234400 is 44323143.

3413234400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3413234401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235360 + ... + 249440.

It is an arithmetic number, because the mean of its divisors is an integer number (77922747).

Almost surely, 2^3413234400 is an apocalyptic number.

3413234400 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 3413234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5610437784).

3413234400 is an abundant number, since it is smaller than the sum of its proper divisors (7807641168).

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

3413234400 is a wasteful number, since it uses less digits than its factorization.

3413234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14205 (or 14192 counting only the distinct ones).

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

The square root of 3413234400 is about 58422.8927732956. The cubic root of 3413234400 is about 1505.6430992205.

Adding to 3413234400 its reverse (44323143), we get a palindrome (3457557543).

The spelling of 3413234400 in words is "three billion, four hundred thirteen million, two hundred thirty-four thousand, four hundred".