3460055040 has 540 divisors, whose sum is σ = 13632775884. Its totient is φ = 806879232.

The previous prime is 3460055029. The next prime is 3460055077. The reversal of 3460055040 is 405500643.

3460055040 is a `hidden beast` number, since 3 + 4 + 600 + 5 + 50 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 851705856 + 2608349184 = 29184^2 + 51072^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3460054995 and 3460055013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 182108151 + ... + 182108169.

Almost surely, 2^3460055040 is an apocalyptic number.

3460055040 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 3460055040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6816387942).

3460055040 is an abundant number, since it is smaller than the sum of its proper divisors (10172720844).

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

3460055040 is a wasteful number, since it uses less digits than its factorization.

3460055040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3460055040 is about 58822.2325315862. The cubic root of 3460055040 is about 1512.4963516976.

Adding to 3460055040 its reverse (405500643), we get a palindrome (3865555683).

The spelling of 3460055040 in words is "three billion, four hundred sixty million, fifty-five thousand, forty".