3416381264 has 10 divisors (see below), whose sum is σ = 6619238730. Its totient is φ = 1708190624.

The previous prime is 3416381263. The next prime is 3416381281. The reversal of 3416381264 is 4621836143.

It is a happy number.

3416381264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 2313610000 + 1102771264 = 48100^2 + 33208^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3416381263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 106761899 + ... + 106761930.

It is an arithmetic number, because the mean of its divisors is an integer number (661923873).

Almost surely, 2^3416381264 is an apocalyptic number.

It is an amenable number.

3416381264 is a deficient number, since it is larger than the sum of its proper divisors (3202857466).

3416381264 is a wasteful number, since it uses less digits than its factorization.

3416381264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213523837 (or 213523831 counting only the distinct ones).

The product of its digits is 82944, while the sum is 38.

The square root of 3416381264 is about 58449.8183401796. The cubic root of 3416381264 is about 1506.1056710959.

The spelling of 3416381264 in words is "three billion, four hundred sixteen million, three hundred eighty-one thousand, two hundred sixty-four".