3414092900 has 72 divisors (see below), whose sum is σ = 7876162560. Its totient is φ = 1280880000.

The previous prime is 3414092863. The next prime is 3414092909. The reversal of 3414092900 is 92904143.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3414092909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 183005 + ... + 200795.

Almost surely, 2^3414092900 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 3414092900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3938081280).

3414092900 is an abundant number, since it is smaller than the sum of its proper divisors (4462069660).

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

3414092900 is a wasteful number, since it uses less digits than its factorization.

3414092900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17925 (or 17918 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 3414092900 is about 58430.2396024524. The cubic root of 3414092900 is about 1505.7693222388.

The spelling of 3414092900 in words is "three billion, four hundred fourteen million, ninety-two thousand, nine hundred".