3414064900 has 27 divisors (see below), whose sum is σ = 7409788981. Its totient is φ = 1365392240.

The previous prime is 3414064873. The next prime is 3414064903. The reversal of 3414064900 is 94604143.

The square root of 3414064900 is 58430.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1229063364 + 2185001536 = 35058^2 + 46744^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3414064903) 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 8 ways as a sum of consecutive naturals, for example, 581379 + ... + 587221.

Almost surely, 2^3414064900 is an apocalyptic number.

3414064900 is the 58430-th square number.

It is an amenable number.

3414064900 is an abundant number, since it is smaller than the sum of its proper divisors (3995724081).

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

3414064900 is an frugal number, since it uses more digits than its factorization.

3414064900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11700 (or 5850 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The cubic root of 3414064900 is about 1505.7652058056.

The spelling of 3414064900 in words is "three billion, four hundred fourteen million, sixty-four thousand, nine hundred".