3534196157856 has 288 divisors, whose sum is σ = 12373835685120. Its totient is φ = 931783053312.

The previous prime is 3534196157831. The next prime is 3534196157903. The reversal of 3534196157856 is 6587516914353.

3534196157856 is a `hidden beast` number, since 3 + 5 + 3 + 4 + 1 + 9 + 6 + 1 + 578 + 56 = 666.

3534196157856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×3534196157856³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 3534196157793 and 3534196157802.

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, 84080461 + ... + 84122483.

It is an arithmetic number, because the mean of its divisors is an integer number (42964707240).

Almost surely, 2^{3534196157856} is an apocalyptic number.

3534196157856 is a gapful number since it is divisible by the number (36) 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 3534196157856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6186917842560).

3534196157856 is an abundant number, since it is smaller than the sum of its proper divisors (8839639527264).

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

3534196157856 is a wasteful number, since it uses less digits than its factorization.

3534196157856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45268 (or 45257 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 63.

The spelling of 3534196157856 in words is "three trillion, five hundred thirty-four billion, one hundred ninety-six million, one hundred fifty-seven thousand, eight hundred fifty-six".