3386538540 has 144 divisors (see below), whose sum is σ = 12807325440. Its totient is φ = 703693440.

The previous prime is 3386538497. The next prime is 3386538563. The reversal of 3386538540 is 458356833.

3386538540 is a `hidden beast` number, since 33 + 86 + 538 + 5 + 4 + 0 = 666.

It is a super-2 number, since 2×3386538540² = 22937286565810663200, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108310 + ... + 136029.

It is an arithmetic number, because the mean of its divisors is an integer number (88939760).

Almost surely, 2^3386538540 is an apocalyptic number.

3386538540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3386538540 is an abundant number, since it is smaller than the sum of its proper divisors (9420786900).

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

3386538540 is a wasteful number, since it uses less digits than its factorization.

3386538540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244372 (or 244367 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The square root of 3386538540 is about 58193.9733993134. The cubic root of 3386538540 is about 1501.7074689623.

The spelling of 3386538540 in words is "three billion, three hundred eighty-six million, five hundred thirty-eight thousand, five hundred forty".