3438146901636 has 36 divisors (see below), whose sum is σ = 8691099352572. Its totient is φ = 1146018898944.

The previous prime is 3438146901617. The next prime is 3438146901649. The reversal of 3438146901636 is 6361096418343.

3438146901636 is a `hidden beast` number, since 3 + 43 + 81 + 469 + 0 + 1 + 63 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1864863360000 + 1573283541636 = 1365600^2 + 1254306^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 160180 + ... + 2627156.

Almost surely, 2^{3438146901636} is an apocalyptic number.

3438146901636 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3438146901636 is an abundant number, since it is smaller than the sum of its proper divisors (5252952450936).

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

3438146901636 is a wasteful number, since it uses less digits than its factorization.

3438146901636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2505700 (or 2505695 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 3438146901636 in words is "three trillion, four hundred thirty-eight billion, one hundred forty-six million, nine hundred one thousand, six hundred thirty-six".