3505621256136 has 96 divisors (see below), whose sum is σ = 9553855633920. Its totient is φ = 1161223516800.

The previous prime is 3505621256117. The next prime is 3505621256167. The reversal of 3505621256136 is 6316521265053.

3505621256136 is a `hidden beast` number, since 3 + 5 + 0 + 5 + 6 + 2 + 1 + 25 + 613 + 6 = 666.

3505621256136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3505621256091 and 3505621256100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129915766 + ... + 129942746.

It is an arithmetic number, because the mean of its divisors is an integer number (99519329520).

Almost surely, 2^{3505621256136} is an apocalyptic number.

3505621256136 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 3505621256136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776927816960).

3505621256136 is an abundant number, since it is smaller than the sum of its proper divisors (6048234377784).

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

3505621256136 is a wasteful number, since it uses less digits than its factorization.

3505621256136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38227 (or 38220 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 3505621256136 in words is "three trillion, five hundred five billion, six hundred twenty-one million, two hundred fifty-six thousand, one hundred thirty-six".