3061210400 has 72 divisors (see below), whose sum is σ = 7912813860. Its totient is φ = 1152450560.

The previous prime is 3061210393. The next prime is 3061210499. The reversal of 3061210400 is 40121603.

3061210400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 843553936 + 2217656464 = 29044^2 + 47092^2 .

It is a super-2 number, since 2×3061210400² = 18742018226136320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98945 + ... + 126144.

Almost surely, 2^3061210400 is an apocalyptic number.

It is an amenable number.

3061210400 is an abundant number, since it is smaller than the sum of its proper divisors (4851603460).

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

3061210400 is a wasteful number, since it uses less digits than its factorization.

3061210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225126 (or 225113 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 3061210400 is about 55328.2061881641. The cubic root of 3061210400 is about 1451.9925677637.

The spelling of 3061210400 in words is "three billion, sixty-one million, two hundred ten thousand, four hundred".