3061094400 has 864 divisors, whose sum is σ = 13677562080. Its totient is φ = 637009920.

The previous prime is 3061094381. The next prime is 3061094401. The reversal of 3061094400 is 44901603.

3061094400 is a `hidden beast` number, since 3 + 0 + 610 + 9 + 4 + 40 + 0 = 666.

It is a super-2 number, since 2×3061094400² = 18740597851422720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3061094401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41932764 + ... + 41932836.

Almost surely, 2^3061094400 is an apocalyptic number.

3061094400 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 3061094400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6838781040).

3061094400 is an abundant number, since it is smaller than the sum of its proper divisors (10616467680).

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

3061094400 is a wasteful number, since it uses less digits than its factorization.

3061094400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 3061094400 is about 55327.1578883282. The cubic root of 3061094400 is about 1451.9742271682.

The spelling of 3061094400 in words is "three billion, sixty-one million, ninety-four thousand, four hundred".