3401214300 has 360 divisors, whose sum is σ = 12250465920. Its totient is φ = 809308800.

The previous prime is 3401214277. The next prime is 3401214319. The reversal of 3401214300 is 34121043.

3401214300 is a `hidden beast` number, since 340 + 1 + 21 + 4 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 119 ways as a sum of consecutive naturals, for example, 5256577 + ... + 5257223.

It is an arithmetic number, because the mean of its divisors is an integer number (34029072).

Almost surely, 2^3401214300 is an apocalyptic number.

3401214300 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 3401214300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6125232960).

3401214300 is an abundant number, since it is smaller than the sum of its proper divisors (8849251620).

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

3401214300 is a wasteful number, since it uses less digits than its factorization.

3401214300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3401214300 is about 58319.9305555142. The cubic root of 3401214300 is about 1503.8735882653.

Adding to 3401214300 its reverse (34121043), we get a palindrome (3435335343).

The spelling of 3401214300 in words is "three billion, four hundred one million, two hundred fourteen thousand, three hundred".