3434261400 has 144 divisors (see below), whose sum is σ = 12140536200. Its totient is φ = 867594240.

The previous prime is 3434261359. The next prime is 3434261417. The reversal of 3434261400 is 41624343.

3434261400 is a `hidden beast` number, since 3 + 4 + 3 + 42 + 614 + 0 + 0 = 666.

3434261400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16009 + ... + 84408.

Almost surely, 2^3434261400 is an apocalyptic number.

3434261400 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 3434261400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6070268100).

3434261400 is an abundant number, since it is smaller than the sum of its proper divisors (8706274800).

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

3434261400 is a wasteful number, since it uses less digits than its factorization.

3434261400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100458 (or 100446 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3434261400 is about 58602.5716159283. The cubic root of 3434261400 is about 1508.7285761188.

Adding to 3434261400 its reverse (41624343), we get a palindrome (3475885743).

The spelling of 3434261400 in words is "three billion, four hundred thirty-four million, two hundred sixty-one thousand, four hundred".