3055345920 has 864 divisors, whose sum is σ = 12856596480. Its totient is φ = 686776320.

The previous prime is 3055345919. The next prime is 3055345981. The reversal of 3055345920 is 295435503.

3055345920 is a `hidden beast` number, since 30 + 5 + 5 + 34 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65007337 + ... + 65007383.

It is an arithmetic number, because the mean of its divisors is an integer number (14880320).

Almost surely, 2^3055345920 is an apocalyptic number.

3055345920 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 3055345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6428298240).

3055345920 is an abundant number, since it is smaller than the sum of its proper divisors (9801250560).

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

3055345920 is a wasteful number, since it uses less digits than its factorization.

3055345920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 3055345920 is about 55275.1835817847. The cubic root of 3055345920 is about 1451.0647621273.

The spelling of 3055345920 in words is "three billion, fifty-five million, three hundred forty-five thousand, nine hundred twenty".