3074728800 has 864 divisors, whose sum is σ = 12893174784. Its totient is φ = 626688000.

The previous prime is 3074728793. The next prime is 3074728807. The reversal of 3074728800 is 88274703.

It is an interprime number because it is at equal distance from previous prime (3074728793) and next prime (3074728807).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3074728807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 99184785 + ... + 99184815.

It is an arithmetic number, because the mean of its divisors is an integer number (14922656).

Almost surely, 2^3074728800 is an apocalyptic number.

3074728800 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 3074728800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6446587392).

3074728800 is an abundant number, since it is smaller than the sum of its proper divisors (9818445984).

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

3074728800 is a wasteful number, since it uses less digits than its factorization.

3074728800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 3074728800 is about 55450.2371500790. The cubic root of 3074728800 is about 1454.1267773212.

The spelling of 3074728800 in words is "three billion, seventy-four million, seven hundred twenty-eight thousand, eight hundred".