3073906800 has 240 divisors, whose sum is σ = 10995531360. Its totient is φ = 815616000.

The previous prime is 3073906793. The next prime is 3073906813. The reversal of 3073906800 is 86093703.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2602210 + ... + 2603390.

It is an arithmetic number, because the mean of its divisors is an integer number (45814714).

Almost surely, 2^3073906800 is an apocalyptic number.

3073906800 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 3073906800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5497765680).

3073906800 is an abundant number, since it is smaller than the sum of its proper divisors (7921624560).

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

3073906800 is a wasteful number, since it uses less digits than its factorization.

3073906800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1449 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3073906800 is about 55442.8246033696. The cubic root of 3073906800 is about 1453.9971833721.

The spelling of 3073906800 in words is "three billion, seventy-three million, nine hundred six thousand, eight hundred".