3642826464 has 72 divisors (see below), whose sum is σ = 10466164800. Its totient is φ = 1201747968.

The previous prime is 3642826463. The next prime is 3642826469. The reversal of 3642826464 is 4646282463.

3642826464 is a `hidden beast` number, since 364 + 28 + 264 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (3642826463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37264 + ... + 93135.

It is an arithmetic number, because the mean of its divisors is an integer number (145363400).

Almost surely, 2^3642826464 is an apocalyptic number.

It is an amenable number.

3642826464 is an abundant number, since it is smaller than the sum of its proper divisors (6823338336).

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

3642826464 is a wasteful number, since it uses less digits than its factorization.

3642826464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130512 (or 130501 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 45.

The square root of 3642826464 is about 60355.8320628587. The cubic root of 3642826464 is about 1538.6723904216.

The spelling of 3642826464 in words is "three billion, six hundred forty-two million, eight hundred twenty-six thousand, four hundred sixty-four".