3436739414401 has 8 divisors (see below), whose sum is σ = 3555413545320. Its totient is φ = 3318076341888.

The previous prime is 3436739414399. The next prime is 3436739414413. The reversal of 3436739414401 is 1044149376343.

It can be written as a sum of positive squares in 4 ways, for example, as 501616646001 + 2935122768400 = 708249^2 + 1713220^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3436739414401 - 2¹ = 3436739414399 is a prime.

It is a super-2 number, since 2×3436739414401² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3436739414431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2129836 + ... + 3377821.

It is an arithmetic number, because the mean of its divisors is an integer number (444426693165).

Almost surely, 2^{3436739414401} is an apocalyptic number.

It is an amenable number.

3436739414401 is a deficient number, since it is larger than the sum of its proper divisors (118674130919).

3436739414401 is a wasteful number, since it uses less digits than its factorization.

3436739414401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5529203.

The product of its (nonzero) digits is 2612736, while the sum is 49.

The spelling of 3436739414401 in words is "three trillion, four hundred thirty-six billion, seven hundred thirty-nine million, four hundred fourteen thousand, four hundred one".