3512434406157 has 32 divisors (see below), whose sum is σ = 5258049224960. Its totient is φ = 2317131048960.

The previous prime is 3512434406123. The next prime is 3512434406161. The reversal of 3512434406157 is 7516044342153.

3512434406157 is a `hidden beast` number, since 3 + 5 + 1 + 24 + 3 + 4 + 4 + 0 + 615 + 7 = 666.

It is not a de Polignac number, because 3512434406157 - 2³² = 3508139438861 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3512434406167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17771157 + ... + 17967717.

It is an arithmetic number, because the mean of its divisors is an integer number (164314038280).

Almost surely, 2^{3512434406157} is an apocalyptic number.

It is an amenable number.

3512434406157 is a deficient number, since it is larger than the sum of its proper divisors (1745614818803).

3512434406157 is a wasteful number, since it uses less digits than its factorization.

3512434406157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203490 (or 203484 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 3512434406157 in words is "three trillion, five hundred twelve billion, four hundred thirty-four million, four hundred six thousand, one hundred fifty-seven".