3089488800 has 288 divisors, whose sum is σ = 10620070272. Its totient is φ = 778567680.

The previous prime is 3089488763. The next prime is 3089488837. The reversal of 3089488800 is 88849803.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3089488763) and next prime (3089488837).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3089488800.

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, 5354112 + ... + 5354688.

It is an arithmetic number, because the mean of its divisors is an integer number (36875244).

Almost surely, 2^3089488800 is an apocalyptic number.

3089488800 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 3089488800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5310035136).

3089488800 is an abundant number, since it is smaller than the sum of its proper divisors (7530581472).

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

3089488800 is a wasteful number, since it uses less digits than its factorization.

3089488800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 3089488800 is about 55583.1701147029. The cubic root of 3089488800 is about 1456.4498720546.

The spelling of 3089488800 in words is "three billion, eighty-nine million, four hundred eighty-eight thousand, eight hundred".