3088381680 has 240 divisors, whose sum is σ = 10795692960. Its totient is φ = 790272000.

The previous prime is 3088381663. The next prime is 3088381711. The reversal of 3088381680 is 861838803.

3088381680 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 (240).

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4405330 + ... + 4406030.

It is an arithmetic number, because the mean of its divisors is an integer number (44982054).

Almost surely, 2^3088381680 is an apocalyptic number.

3088381680 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 3088381680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5397846480).

3088381680 is an abundant number, since it is smaller than the sum of its proper divisors (7707311280).

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

3088381680 is a wasteful number, since it uses less digits than its factorization.

3088381680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 3088381680 is about 55573.2100926337. The cubic root of 3088381680 is about 1456.2758780668.

The spelling of 3088381680 in words is "three billion, eighty-eight million, three hundred eighty-one thousand, six hundred eighty".