3057855840 has 192 divisors, whose sum is σ = 11525976000. Its totient is φ = 752689152.

The previous prime is 3057855821. The next prime is 3057855847. The reversal of 3057855840 is 485587503.

3057855840 is a `hidden beast` number, since 3 + 0 + 57 + 8 + 558 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3057855847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28936 + ... + 83384.

It is an arithmetic number, because the mean of its divisors is an integer number (60031125).

Almost surely, 2^3057855840 is an apocalyptic number.

3057855840 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 3057855840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5762988000).

3057855840 is an abundant number, since it is smaller than the sum of its proper divisors (8468120160).

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

3057855840 is a wasteful number, since it uses less digits than its factorization.

3057855840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54486 (or 54472 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 3057855840 is about 55297.8827804465. The cubic root of 3057855840 is about 1451.4619958852.

The spelling of 3057855840 in words is "three billion, fifty-seven million, eight hundred fifty-five thousand, eight hundred forty".