3388009547970 has 80 divisors (see below), whose sum is σ = 9156225219768. Its totient is φ = 898883032320.

The previous prime is 3388009547929. The next prime is 3388009547983. The reversal of 3388009547970 is 797459008833.

3388009547970 is a `hidden beast` number, since 3 + 3 + 8 + 8 + 0 + 0 + 95 + 479 + 70 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3274728163641 + 113281384329 = 1809621^2 + 336573^2 .

It is a super-2 number, since 2×3388009547970² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3388009547898 and 3388009547907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10456491 + ... + 10775630.

Almost surely, 2^{3388009547970} is an apocalyptic number.

3388009547970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3388009547970 is an abundant number, since it is smaller than the sum of its proper divisors (5768215671798).

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

3388009547970 is a wasteful number, since it uses less digits than its factorization.

3388009547970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21232337 (or 21232328 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 3388009547970 in words is "three trillion, three hundred eighty-eight billion, nine million, five hundred forty-seven thousand, nine hundred seventy".