3652689040 has 160 divisors (see below), whose sum is σ = 11402770176. Its totient is φ = 1050900480.

The previous prime is 3652689023. The next prime is 3652689043. The reversal of 3652689040 is 409862563.

It is a super-2 number, since 2×3652689040² = 26684274445872243200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3652689043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57274 + ... + 102886.

Almost surely, 2^3652689040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3652689040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5701385088).

3652689040 is an abundant number, since it is smaller than the sum of its proper divisors (7750081136).

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

3652689040 is a wasteful number, since it uses less digits than its factorization.

3652689040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45657 (or 45651 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The square root of 3652689040 is about 60437.4804239886. The cubic root of 3652689040 is about 1540.0597379424.

The spelling of 3652689040 in words is "three billion, six hundred fifty-two million, six hundred eighty-nine thousand, forty".