3374682435072 has 800 divisors, whose sum is σ = 11685432084480. Its totient is φ = 961068810240.

The previous prime is 3374682435067. The next prime is 3374682435083. The reversal of 3374682435072 is 2705342864733.

3374682435072 is a `hidden beast` number, since 3 + 3 + 74 + 68 + 2 + 4 + 3 + 507 + 2 = 666.

3374682435072 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-2 number, since 2×3374682435072² (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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 384399579 + ... + 384408357.

Almost surely, 2^{3374682435072} is an apocalyptic number.

3374682435072 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 3374682435072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5842716042240).

3374682435072 is an abundant number, since it is smaller than the sum of its proper divisors (8310749649408).

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

3374682435072 is a wasteful number, since it uses less digits than its factorization.

3374682435072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8876 (or 8851 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 3374682435072 in words is "three trillion, three hundred seventy-four billion, six hundred eighty-two million, four hundred thirty-five thousand, seventy-two".