3401340400 has 90 divisors (see below), whose sum is σ = 8464057472. Its totient is φ = 1313491200.

The previous prime is 3401340379. The next prime is 3401340421. The reversal of 3401340400 is 40431043.

It is an interprime number because it is at equal distance from previous prime (3401340379) and next prime (3401340421).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 331345 + ... + 341455.

Almost surely, 2^3401340400 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 3401340400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4232028736).

3401340400 is an abundant number, since it is smaller than the sum of its proper divisors (5062717072).

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

3401340400 is a wasteful number, since it uses less digits than its factorization.

3401340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10187 (or 10147 counting only the distinct ones).

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

The square root of 3401340400 is about 58321.0116510336. The cubic root of 3401340400 is about 1503.8921734037.

Adding to 3401340400 its reverse (40431043), we get a palindrome (3441771443).

The spelling of 3401340400 in words is "three billion, four hundred one million, three hundred forty thousand, four hundred".