3635744640 has 128 divisors (see below), whose sum is σ = 12642549120. Its totient is φ = 881387520.

The previous prime is 3635744621. The next prime is 3635744657. The reversal of 3635744640 is 464475363.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 3635744592 and 3635744601.

It is a congruent number.

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, 64954 + ... + 107193.

It is an arithmetic number, because the mean of its divisors is an integer number (98769915).

Almost surely, 2^3635744640 is an apocalyptic number.

3635744640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3635744640 is an abundant number, since it is smaller than the sum of its proper divisors (9006804480).

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

3635744640 is a wasteful number, since it uses less digits than its factorization.

3635744640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172180 (or 172168 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 42.

The square root of 3635744640 is about 60297.1362504058. The cubic root of 3635744640 is about 1537.6746600442.

The spelling of 3635744640 in words is "three billion, six hundred thirty-five million, seven hundred forty-four thousand, six hundred forty".