3435468806172 has 72 divisors (see below), whose sum is σ = 9057546900864. Its totient is φ = 1011107862336.

The previous prime is 3435468806153. The next prime is 3435468806191. The reversal of 3435468806172 is 2716088645343.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3435468806153) and next prime (3435468806191).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 36779838 + ... + 36873125.

It is an arithmetic number, because the mean of its divisors is an integer number (125799262512).

Almost surely, 2^{3435468806172} is an apocalyptic number.

It is an amenable number.

3435468806172 is an abundant number, since it is smaller than the sum of its proper divisors (5622078094692).

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

3435468806172 is a wasteful number, since it uses less digits than its factorization.

3435468806172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73653019 (or 73653004 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 57.

The spelling of 3435468806172 in words is "three trillion, four hundred thirty-five billion, four hundred sixty-eight million, eight hundred six thousand, one hundred seventy-two".