3414290504064 has 64 divisors (see below), whose sum is σ = 9893682722880. Its totient is φ = 1034633484800.

The previous prime is 3414290503993. The next prime is 3414290504099. The reversal of 3414290504064 is 4604050924143.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3414290504064² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 404149482 + ... + 404157929.

It is an arithmetic number, because the mean of its divisors is an integer number (154588792545).

Almost surely, 2^{3414290504064} is an apocalyptic number.

It is an amenable number.

3414290504064 is an abundant number, since it is smaller than the sum of its proper divisors (6479392218816).

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

3414290504064 is a wasteful number, since it uses less digits than its factorization.

3414290504064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808307439 (or 808307427 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 3414290504064 in words is "three trillion, four hundred fourteen billion, two hundred ninety million, five hundred four thousand, sixty-four".