3633140640 has 48 divisors (see below), whose sum is σ = 11444394528. Its totient is φ = 968837376.

The previous prime is 3633140639. The next prime is 3633140683. The reversal of 3633140640 is 460413363.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3633140598 and 3633140607.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3784042 + ... + 3785001.

It is an arithmetic number, because the mean of its divisors is an integer number (238424886).

Almost surely, 2^3633140640 is an apocalyptic number.

3633140640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3633140640 is an abundant number, since it is smaller than the sum of its proper divisors (7811253888).

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

3633140640 is a wasteful number, since it uses less digits than its factorization.

3633140640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7569061 (or 7569053 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 3633140640 is about 60275.5393173715. The cubic root of 3633140640 is about 1537.3074669348.

The spelling of 3633140640 in words is "three billion, six hundred thirty-three million, one hundred forty thousand, six hundred forty".