3532688640 has 360 divisors, whose sum is σ = 13618154088. Its totient is φ = 869253120.

The previous prime is 3532688629. The next prime is 3532688641. The reversal of 3532688640 is 468862353.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 313714944 + 3218973696 = 17712^2 + 56736^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3532688641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1346530 + ... + 1349150.

Almost surely, 2^3532688640 is an apocalyptic number.

3532688640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3532688640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6809077044).

3532688640 is an abundant number, since it is smaller than the sum of its proper divisors (10085465448).

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

3532688640 is a wasteful number, since it uses less digits than its factorization.

3532688640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2667 (or 2644 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 3532688640 is about 59436.4251953295. The cubic root of 3532688640 is about 1523.0066066287.

The spelling of 3532688640 in words is "three billion, five hundred thirty-two million, six hundred eighty-eight thousand, six hundred forty".