3016206400 has 63 divisors (see below), whose sum is σ = 7427162311. Its totient is φ = 1205603840.

The previous prime is 3016206379. The next prime is 3016206409. The reversal of 3016206400 is 46026103.

The square root of 3016206400 is 54920.

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

It can be written as a sum of positive squares in 4 ways, for example, as 785344576 + 2230861824 = 28024^2 + 47232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3016206409) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2196114 + ... + 2197486.

Almost surely, 2^3016206400 is an apocalyptic number.

3016206400 is the 54920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3016206400

3016206400 is an abundant number, since it is smaller than the sum of its proper divisors (4410955911).

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

3016206400 is an frugal number, since it uses more digits than its factorization.

3016206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2768 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The cubic root of 3016206400 is about 1444.8419825371.

The spelling of 3016206400 in words is "three billion, sixteen million, two hundred six thousand, four hundred".