3391538314752 has 1200 divisors, whose sum is σ = 12386865783600. Its totient is φ = 920017502208.

The previous prime is 3391538314643. The next prime is 3391538314757. The reversal of 3391538314752 is 2574138351933.

It is a happy number.

3391538314752 is a `hidden beast` number, since 3 + 3 + 9 + 1 + 538 + 31 + 4 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3391538314757) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3233115124 + ... + 3233116172.

It is an arithmetic number, because the mean of its divisors is an integer number (10322388153).

Almost surely, 2^{3391538314752} is an apocalyptic number.

3391538314752 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 3391538314752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6193432891800).

3391538314752 is an abundant number, since it is smaller than the sum of its proper divisors (8995327468848).

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

3391538314752 is a wasteful number, since it uses less digits than its factorization.

3391538314752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1173 (or 1141 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 54.

The spelling of 3391538314752 in words is "three trillion, three hundred ninety-one billion, five hundred thirty-eight million, three hundred fourteen thousand, seven hundred fifty-two".