3643534904064 has 144 divisors (see below), whose sum is σ = 11200947649920. Its totient is φ = 1039154298880.

The previous prime is 3643534904039. The next prime is 3643534904083. The reversal of 3643534904064 is 4604094353463.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 3643534903998 and 3643534904016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12541374 + ... + 12828605.

It is an arithmetic number, because the mean of its divisors is an integer number (77784358680).

Almost surely, 2^{3643534904064} is an apocalyptic number.

3643534904064 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3643534904064 is an abundant number, since it is smaller than the sum of its proper divisors (7557412745856).

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

3643534904064 is a wasteful number, since it uses less digits than its factorization.

3643534904064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25370026 (or 25370012 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 51.

The spelling of 3643534904064 in words is "three trillion, six hundred forty-three billion, five hundred thirty-four million, nine hundred four thousand, sixty-four".