3372634079712 has 288 divisors, whose sum is σ = 9754307297280. Its totient is φ = 1105265710080.

The previous prime is 3372634079701. The next prime is 3372634079747. The reversal of 3372634079712 is 2179704362733.

3372634079712 is a `hidden beast` number, since 337 + 263 + 40 + 7 + 9 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3372634079712² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2855743762 + ... + 2855744942.

It is an arithmetic number, because the mean of its divisors is an integer number (33869122560).

Almost surely, 2^{3372634079712} is an apocalyptic number.

3372634079712 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 3372634079712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4877153648640).

3372634079712 is an abundant number, since it is smaller than the sum of its proper divisors (6381673217568).

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

3372634079712 is a wasteful number, since it uses less digits than its factorization.

3372634079712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 54.

The spelling of 3372634079712 in words is "three trillion, three hundred seventy-two billion, six hundred thirty-four million, seventy-nine thousand, seven hundred twelve".