3434137404705 has 48 divisors (see below), whose sum is σ = 6848519558400. Its totient is φ = 1559355179904.

The previous prime is 3434137404647. The next prime is 3434137404707. The reversal of 3434137404705 is 5074047314343.

3434137404705 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 137 + 40 + 470 + 5 = 666.

It is not a de Polignac number, because 3434137404705 - 2⁹ = 3434137404193 is a prime.

It is a super-2 number, since 2×3434137404705² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3434137404707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36537037 + ... + 36630906.

It is an arithmetic number, because the mean of its divisors is an integer number (142677490800).

Almost surely, 2^{3434137404705} is an apocalyptic number.

3434137404705 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3434137404705 is a deficient number, since it is larger than the sum of its proper divisors (3414382153695).

3434137404705 is a wasteful number, since it uses less digits than its factorization.

3434137404705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73168110 (or 73168107 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 45.

The spelling of 3434137404705 in words is "three trillion, four hundred thirty-four billion, one hundred thirty-seven million, four hundred four thousand, seven hundred five".