3434213400 has 96 divisors (see below), whose sum is σ = 10684472400. Its totient is φ = 912486400.

The previous prime is 3434213381. The next prime is 3434213407. The reversal of 3434213400 is 43124343.

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 (3434213407) 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, 158416 + ... + 178784.

Almost surely, 2^3434213400 is an apocalyptic number.

3434213400 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 3434213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5342236200).

3434213400 is an abundant number, since it is smaller than the sum of its proper divisors (7250259000).

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

3434213400 is a wasteful number, since it uses less digits than its factorization.

3434213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20669 (or 20660 counting only the distinct ones).

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

The square root of 3434213400 is about 58602.1620761555. The cubic root of 3434213400 is about 1508.7215470180.

Adding to 3434213400 its reverse (43124343), we get a palindrome (3477337743).

The spelling of 3434213400 in words is "three billion, four hundred thirty-four million, two hundred thirteen thousand, four hundred".