3102774400 has 192 divisors, whose sum is σ = 8425085760. Its totient is φ = 1119744000.

The previous prime is 3102774383. The next prime is 3102774413. The reversal of 3102774400 is 44772013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6370957 + ... + 6371443.

It is an arithmetic number, because the mean of its divisors is an integer number (43880655).

Almost surely, 2^3102774400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3102774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4212542880).

3102774400 is an abundant number, since it is smaller than the sum of its proper divisors (5322311360).

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

3102774400 is a wasteful number, since it uses less digits than its factorization.

3102774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 28.

The square root of 3102774400 is about 55702.5529037943. The cubic root of 3102774400 is about 1458.5345902017.

The spelling of 3102774400 in words is "three billion, one hundred two million, seven hundred seventy-four thousand, four hundred".