3394587156480 has 2688 divisors, whose sum is σ = 14871465100800. Its totient is φ = 727720132608.

The previous prime is 3394587156419. The next prime is 3394587156509. The reversal of 3394587156480 is 846517854933.

3394587156480 is a `hidden beast` number, since 3 + 3 + 9 + 4 + 587 + 1 + 5 + 6 + 48 + 0 = 666.

It is a super-3 number, since 3×3394587156480³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 78943887339 + ... + 78943887381.

It is an arithmetic number, because the mean of its divisors is an integer number (5532539100).

Almost surely, 2^{3394587156480} is an apocalyptic number.

3394587156480 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 3394587156480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7435732550400).

3394587156480 is an abundant number, since it is smaller than the sum of its proper divisors (11476877944320).

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

3394587156480 is a wasteful number, since it uses less digits than its factorization.

3394587156480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 3394587156480 in words is "three trillion, three hundred ninety-four billion, five hundred eighty-seven million, one hundred fifty-six thousand, four hundred eighty".