3314337089952 has 144 divisors (see below), whose sum is σ = 10653226647840. Its totient is φ = 897113774592.

The previous prime is 3314337089951. The next prime is 3314337089977. The reversal of 3314337089952 is 2599807334133.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 3314337089892 and 3314337089901.

It is not an unprimeable number, because it can be changed into a prime (3314337089951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18452163 + ... + 18630914.

It is an arithmetic number, because the mean of its divisors is an integer number (73980740610).

Almost surely, 2^{3314337089952} is an apocalyptic number.

3314337089952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3314337089952 is an abundant number, since it is smaller than the sum of its proper divisors (7338889557888).

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

3314337089952 is a wasteful number, since it uses less digits than its factorization.

3314337089952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37083123 (or 37083108 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 57.

The spelling of 3314337089952 in words is "three trillion, three hundred fourteen billion, three hundred thirty-seven million, eighty-nine thousand, nine hundred fifty-two".