3372534386352 has 400 divisors, whose sum is σ = 10422618624000. Its totient is φ = 1049739844608.

The previous prime is 3372534386317. The next prime is 3372534386357. The reversal of 3372534386352 is 2536834352733.

3372534386352 is a `hidden beast` number, since 3 + 3 + 7 + 253 + 4 + 38 + 6 + 352 = 666.

3372534386352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3372534386352³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (3372534386357) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1573743393 + ... + 1573745535.

It is an arithmetic number, because the mean of its divisors is an integer number (26056546560).

Almost surely, 2^{3372534386352} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3372534386352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5211309312000).

3372534386352 is an abundant number, since it is smaller than the sum of its proper divisors (7050084237648).

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

3372534386352 is a wasteful number, since it uses less digits than its factorization.

3372534386352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070 (or 3055 counting only the distinct ones).

The product of its digits is 32659200, while the sum is 54.

The spelling of 3372534386352 in words is "three trillion, three hundred seventy-two billion, five hundred thirty-four million, three hundred eighty-six thousand, three hundred fifty-two".