3039101949312 has 1536 divisors, whose sum is σ = 11162527488000. Its totient is φ = 812262297600.

The previous prime is 3039101949241. The next prime is 3039101949337. The reversal of 3039101949312 is 2139491019303.

It is a happy number.

3039101949312 is a `hidden beast` number, since 303 + 9 + 10 + 19 + 4 + 9 + 312 = 666.

It is a super-2 number, since 2×3039101949312² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 38469644889 + ... + 38469644967.

It is an arithmetic number, because the mean of its divisors is an integer number (7267270500).

Almost surely, 2^{3039101949312} is an apocalyptic number.

3039101949312 is a gapful number since it is divisible by the number (32) 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 3039101949312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581263744000).

3039101949312 is an abundant number, since it is smaller than the sum of its proper divisors (8123425538688).

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

3039101949312 is an equidigital number, since it uses as much as digits as its factorization.

3039101949312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 3039101949312 in words is "three trillion, thirty-nine billion, one hundred one million, nine hundred forty-nine thousand, three hundred twelve".