3305457540 has 288 divisors, whose sum is σ = 12680478720. Its totient is φ = 676972800.

The previous prime is 3305457521. The next prime is 3305457541. The reversal of 3305457540 is 457545033.

3305457540 is a `hidden beast` number, since 3 + 3 + 0 + 545 + 75 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3305457495 and 3305457504.

It is not an unprimeable number, because it can be changed into a prime (3305457541) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 982381 + ... + 985739.

It is an arithmetic number, because the mean of its divisors is an integer number (44029440).

Almost surely, 2^3305457540 is an apocalyptic number.

3305457540 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 3305457540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6340239360).

3305457540 is an abundant number, since it is smaller than the sum of its proper divisors (9375021180).

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

3305457540 is a wasteful number, since it uses less digits than its factorization.

3305457540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3463 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 36.

The square root of 3305457540 is about 57493.1086305133. The cubic root of 3305457540 is about 1489.6258298031.

The spelling of 3305457540 in words is "three billion, three hundred five million, four hundred fifty-seven thousand, five hundred forty".