3382971125760 has 832 divisors, whose sum is σ = 12598801205760. Its totient is φ = 859538718720.

The previous prime is 3382971125731. The next prime is 3382971125797. The reversal of 3382971125760 is 675211792833.

3382971125760 is a `hidden beast` number, since 3 + 38 + 29 + 7 + 1 + 12 + 576 + 0 = 666.

It is a super-2 number, since 2×3382971125760² (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 junction number, because it is equal to n+sod(n) for n = 3382971125697 and 3382971125706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5863034592 + ... + 5863035168.

Almost surely, 2^{3382971125760} is an apocalyptic number.

3382971125760 is a gapful number since it is divisible by the number (30) 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 3382971125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6299400602880).

3382971125760 is an abundant number, since it is smaller than the sum of its proper divisors (9215830080000).

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

3382971125760 is a wasteful number, since it uses less digits than its factorization.

3382971125760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 3382971125760 in words is "three trillion, three hundred eighty-two billion, nine hundred seventy-one million, one hundred twenty-five thousand, seven hundred sixty".