3093742993536 has 384 divisors, whose sum is σ = 9819898583040. Its totient is φ = 929024778240.

The previous prime is 3093742993531. The next prime is 3093742993543. The reversal of 3093742993536 is 6353992473903.

It is a happy number.

3093742993536 is a `hidden beast` number, since 3 + 0 + 9 + 3 + 7 + 4 + 2 + 9 + 93 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (3093742993531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151591845 + ... + 151612251.

It is an arithmetic number, because the mean of its divisors is an integer number (25572652560).

Almost surely, 2^{3093742993536} is an apocalyptic number.

3093742993536 is a gapful number since it is divisible by the number (36) 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 3093742993536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4909949291520).

3093742993536 is an abundant number, since it is smaller than the sum of its proper divisors (6726155589504).

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

3093742993536 is a wasteful number, since it uses less digits than its factorization.

3093742993536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20684 (or 20669 counting only the distinct ones).

The product of its (nonzero) digits is 99202320, while the sum is 63.

The spelling of 3093742993536 in words is "three trillion, ninety-three billion, seven hundred forty-two million, nine hundred ninety-three thousand, five hundred thirty-six".