3071376400 has 135 divisors (see below), whose sum is σ = 7886956791. Its totient is φ = 1149189120.

The previous prime is 3071376397. The next prime is 3071376403. The reversal of 3071376400 is 46731703.

The square root of 3071376400 is 55420.

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

It is an interprime number because it is at equal distance from previous prime (3071376397) and next prime (3071376403).

It can be written as a sum of positive squares in 4 ways, for example, as 71842576 + 2999533824 = 8476^2 + 54768^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3071376403) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18842719 + ... + 18842881.

Almost surely, 2^3071376400 is an apocalyptic number.

3071376400 is the 55420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3071376400

3071376400 is an abundant number, since it is smaller than the sum of its proper divisors (4815580391).

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

3071376400 is a wasteful number, since it uses less digits than its factorization.

3071376400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 31.

The cubic root of 3071376400 is about 1453.5981033382.

The spelling of 3071376400 in words is "three billion, seventy-one million, three hundred seventy-six thousand, four hundred".