3073664880 has 800 divisors, whose sum is σ = 13067163648. Its totient is φ = 659404800.

The previous prime is 3073664861. The next prime is 3073664959. The reversal of 3073664880 is 884663703.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 28725787 + ... + 28725893.

Almost surely, 2^3073664880 is an apocalyptic number.

3073664880 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 3073664880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6533581824).

3073664880 is an abundant number, since it is smaller than the sum of its proper divisors (9993498768).

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

3073664880 is a wasteful number, since it uses less digits than its factorization.

3073664880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3073664880 is about 55440.6428534158. The cubic root of 3073664880 is about 1453.9590386212.

The spelling of 3073664880 in words is "three billion, seventy-three million, six hundred sixty-four thousand, eight hundred eighty".