3352552229376 has 480 divisors, whose sum is σ = 11505758584320. Its totient is φ = 954675818496.

The previous prime is 3352552229353. The next prime is 3352552229399. The reversal of 3352552229376 is 6739222552533.

3352552229376 is a `hidden beast` number, since 3 + 3 + 5 + 25 + 522 + 2 + 93 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (3352552229353) and next prime (3352552229399).

It is a super-2 number, since 2×3352552229376² (a number of 26 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 267363715 + ... + 267376253.

It is an arithmetic number, because the mean of its divisors is an integer number (23970330384).

Almost surely, 2^{3352552229376} is an apocalyptic number.

3352552229376 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 3352552229376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5752879292160).

3352552229376 is an abundant number, since it is smaller than the sum of its proper divisors (8153206354944).

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

3352552229376 is an equidigital number, since it uses as much as digits as its factorization.

3352552229376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12886 (or 12858 counting only the distinct ones).

The product of its digits is 20412000, while the sum is 54.

The spelling of 3352552229376 in words is "three trillion, three hundred fifty-two billion, five hundred fifty-two million, two hundred twenty-nine thousand, three hundred seventy-six".