3382156396096 has 63 divisors (see below), whose sum is σ = 6951753793569. Its totient is φ = 1632559181568.

The previous prime is 3382156395911. The next prime is 3382156396103. The reversal of 3382156396096 is 6906936512833.

It is a happy number.

The square root of 3382156396096 is 1839064.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1773520773696 + 1608635622400 = 1331736^2 + 1268320^2 .

It is a super-2 number, since 2×3382156396096² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 426658885 + ... + 426666811.

Almost surely, 2^{3382156396096} is an apocalyptic number.

3382156396096 is the 1839064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3382156396096

3382156396096 is an abundant number, since it is smaller than the sum of its proper divisors (3569597397473).

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

3382156396096 is an frugal number, since it uses more digits than its factorization.

3382156396096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15924 (or 7958 counting only the distinct ones).

The product of its (nonzero) digits is 37791360, while the sum is 61.

The spelling of 3382156396096 in words is "three trillion, three hundred eighty-two billion, one hundred fifty-six million, three hundred ninety-six thousand, ninety-six".