3412250400 has 144 divisors (see below), whose sum is σ = 11961359424. Its totient is φ = 839930880.

The previous prime is 3412250381. The next prime is 3412250419. The reversal of 3412250400 is 40522143.

It is an interprime number because it is at equal distance from previous prime (3412250381) and next prime (3412250419).

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, 23484 + ... + 85883.

It is an arithmetic number, because the mean of its divisors is an integer number (83064996).

Almost surely, 2^3412250400 is an apocalyptic number.

3412250400 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 3412250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5980679712).

3412250400 is an abundant number, since it is smaller than the sum of its proper divisors (8549109024).

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

3412250400 is a wasteful number, since it uses less digits than its factorization.

3412250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109403 (or 109390 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 3412250400 is about 58414.4708098944. The cubic root of 3412250400 is about 1505.4983982291.

Adding to 3412250400 its reverse (40522143), we get a palindrome (3452772543).

The spelling of 3412250400 in words is "three billion, four hundred twelve million, two hundred fifty thousand, four hundred".