3362056993152 has 768 divisors, whose sum is σ = 12047361984000. Its totient is φ = 909970329600.

The previous prime is 3362056993151. The next prime is 3362056993153. The reversal of 3362056993152 is 2513996502633.

It is a happy number.

3362056993152 is a `hidden beast` number, since 3 + 3 + 6 + 20 + 569 + 9 + 3 + 1 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (3362056993151) and next prime (3362056993153).

It is a super-2 number, since 2×3362056993152² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3362056993151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 474930349 + ... + 474937427.

It is an arithmetic number, because the mean of its divisors is an integer number (15686669250).

Almost surely, 2^{3362056993152} is an apocalyptic number.

3362056993152 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 3362056993152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6023680992000).

3362056993152 is an abundant number, since it is smaller than the sum of its proper divisors (8685304990848).

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

3362056993152 is a wasteful number, since it uses less digits than its factorization.

3362056993152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7188 (or 7139 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 54.

The spelling of 3362056993152 in words is "three trillion, three hundred sixty-two billion, fifty-six million, nine hundred ninety-three thousand, one hundred fifty-two".