3073334400 has 480 divisors, whose sum is σ = 11569884480. Its totient is φ = 803174400.

The previous prime is 3073334387. The next prime is 3073334401. The reversal of 3073334400 is 44333703.

3073334400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3073334401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18403117 + ... + 18403283.

It is an arithmetic number, because the mean of its divisors is an integer number (24103926).

Almost surely, 2^3073334400 is an apocalyptic number.

3073334400 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 3073334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5784942240).

3073334400 is an abundant number, since it is smaller than the sum of its proper divisors (8496550080).

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

3073334400 is a wasteful number, since it uses less digits than its factorization.

3073334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 27.

The square root of 3073334400 is about 55437.6622883758. The cubic root of 3073334400 is about 1453.9069269322.

The spelling of 3073334400 in words is "three billion, seventy-three million, three hundred thirty-four thousand, four hundred".