3411494464 has 105 divisors (see below), whose sum is σ = 7950854177. Its totient is φ = 1452256512.

The previous prime is 3411494453. The next prime is 3411494477. The reversal of 3411494464 is 4644941143.

It is a happy number.

The square root of 3411494464 is 58408.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 399680064 + 3011814400 = 19992^2 + 54880^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 22895862 + ... + 22896010.

Almost surely, 2^3411494464 is an apocalyptic number.

3411494464 is the 58408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3411494464

3411494464 is an abundant number, since it is smaller than the sum of its proper divisors (4539359713).

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

3411494464 is an frugal number, since it uses more digits than its factorization.

3411494464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 158 counting only the distinct ones).

The product of its digits is 165888, while the sum is 40.

The cubic root of 3411494464 is about 1505.3872160322.

The spelling of 3411494464 in words is "three billion, four hundred eleven million, four hundred ninety-four thousand, four hundred sixty-four".