3449121492964 has 96 divisors (see below), whose sum is σ = 7504122429440. Its totient is φ = 1353670185600.

The previous prime is 3449121492953. The next prime is 3449121493001. The reversal of 3449121492964 is 4692941219443.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3449121492899 and 3449121492908.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14344249 + ... + 14582719.

Almost surely, 2^{3449121492964} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3449121492964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3752061214720).

3449121492964 is an abundant number, since it is smaller than the sum of its proper divisors (4055000936476).

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

3449121492964 is a wasteful number, since it uses less digits than its factorization.

3449121492964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239409 (or 239407 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 58.

The spelling of 3449121492964 in words is "three trillion, four hundred forty-nine billion, one hundred twenty-one million, four hundred ninety-two thousand, nine hundred sixty-four".