3438936420759 has 24 divisors (see below), whose sum is σ = 5677189814400. Its totient is φ = 1965031962768.

The previous prime is 3438936420677. The next prime is 3438936420797. The reversal of 3438936420759 is 9570246398343.

3438936420759 is a `hidden beast` number, since 3 + 438 + 93 + 6 + 42 + 0 + 75 + 9 = 666.

It is not a de Polignac number, because 3438936420759 - 2¹¹ = 3438936418711 is a prime.

It is a super-2 number, since 2×3438936420759² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 3438936420696 and 3438936420705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3438936420859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 659784 + ... + 2704290.

It is an arithmetic number, because the mean of its divisors is an integer number (236549575600).

Almost surely, 2^{3438936420759} is an apocalyptic number.

3438936420759 is a deficient number, since it is larger than the sum of its proper divisors (2238253393641).

3438936420759 is a wasteful number, since it uses less digits than its factorization.

3438936420759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071219 (or 2071216 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 3438936420759 in words is "three trillion, four hundred thirty-eight billion, nine hundred thirty-six million, four hundred twenty thousand, seven hundred fifty-nine".