3357540018 has 256 divisors, whose sum is σ = 9580032000. Its totient is φ = 849429504.

The previous prime is 3357540007. The next prime is 3357540037. The reversal of 3357540018 is 8100457533.

3357540018 is a `hidden beast` number, since 33 + 575 + 40 + 0 + 18 = 666.

It is a super-2 number, since 2×3357540018² = 22546149944942880648, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8013013 + ... + 8013431.

It is an arithmetic number, because the mean of its divisors is an integer number (37422000).

Almost surely, 2^3357540018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3357540018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4790016000).

3357540018 is an abundant number, since it is smaller than the sum of its proper divisors (6222491982).

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

3357540018 is a wasteful number, since it uses less digits than its factorization.

3357540018 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 3357540018 is about 57944.2837387779. The cubic root of 3357540018 is about 1497.4088625819.

The spelling of 3357540018 in words is "three billion, three hundred fifty-seven million, five hundred forty thousand, eighteen".