3389870702592 has 864 divisors, whose sum is σ = 11494899247104. Its totient is φ = 959195381760.

The previous prime is 3389870702579. The next prime is 3389870702611. The reversal of 3389870702592 is 2952070789833.

3389870702592 is a `hidden beast` number, since 3 + 38 + 9 + 8 + 7 + 0 + 7 + 0 + 2 + 592 = 666.

It is a super-2 number, since 2×3389870702592² (a number of 26 digits) contains 22 as substring.

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, 26691895233 + ... + 26691895359.

It is an arithmetic number, because the mean of its divisors is an integer number (13304281536).

Almost surely, 2^{3389870702592} is an apocalyptic number.

3389870702592 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 3389870702592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5747449623552).

3389870702592 is an abundant number, since it is smaller than the sum of its proper divisors (8105028544512).

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

3389870702592 is an equidigital number, since it uses as much as digits as its factorization.

3389870702592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 160 counting only the distinct ones).

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

The spelling of 3389870702592 in words is "three trillion, three hundred eighty-nine billion, eight hundred seventy million, seven hundred two thousand, five hundred ninety-two".