3634414464 has 64 divisors (see below), whose sum is σ = 9798071040. Its totient is φ = 1193381376.

The previous prime is 3634414463. The next prime is 3634414471. The reversal of 3634414464 is 4644144363.

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

It is a super-2 number, since 2×3634414464² = 26417936992264814592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3634414463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44904 + ... + 96359.

It is an arithmetic number, because the mean of its divisors is an integer number (153094860).

Almost surely, 2^3634414464 is an apocalyptic number.

It is an amenable number.

3634414464 is an abundant number, since it is smaller than the sum of its proper divisors (6163656576).

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

3634414464 is a wasteful number, since it uses less digits than its factorization.

3634414464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141347 (or 141335 counting only the distinct ones).

The product of its digits is 331776, while the sum is 39.

The square root of 3634414464 is about 60286.1050657612. The cubic root of 3634414464 is about 1537.4871122722.

The spelling of 3634414464 in words is "three billion, six hundred thirty-four million, four hundred fourteen thousand, four hundred sixty-four".