3352131740832 has 192 divisors, whose sum is σ = 10340865368064. Its totient is φ = 930837288960.

The previous prime is 3352131740767. The next prime is 3352131740843. The reversal of 3352131740832 is 2380471312533.

It is a super-2 number, since 2×3352131740832² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7014873 + ... + 7477479.

It is an arithmetic number, because the mean of its divisors is an integer number (53858673792).

Almost surely, 2^{3352131740832} is an apocalyptic number.

3352131740832 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 3352131740832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5170432684032).

3352131740832 is an abundant number, since it is smaller than the sum of its proper divisors (6988733627232).

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

3352131740832 is a wasteful number, since it uses less digits than its factorization.

3352131740832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462931 (or 462923 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 3352131740832 in words is "three trillion, three hundred fifty-two billion, one hundred thirty-one million, seven hundred forty thousand, eight hundred thirty-two".