3552531840 has 768 divisors, whose sum is σ = 15237331200. Its totient is φ = 749813760.

The previous prime is 3552531839. The next prime is 3552531841. The reversal of 3552531840 is 481352553.

3552531840 is a `hidden beast` number, since 3 + 552 + 53 + 18 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3552531839) and next prime (3552531841).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3552531795 and 3552531804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3552531841) 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 95 ways as a sum of consecutive naturals, for example, 15649807 + ... + 15650033.

It is an arithmetic number, because the mean of its divisors is an integer number (19840275).

Almost surely, 2^3552531840 is an apocalyptic number.

3552531840 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 3552531840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618665600).

3552531840 is an abundant number, since it is smaller than the sum of its proper divisors (11684799360).

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

3552531840 is a wasteful number, since it uses less digits than its factorization.

3552531840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 3552531840 is about 59603.1193814552. The cubic root of 3552531840 is about 1525.8528727491.

The spelling of 3552531840 in words is "three billion, five hundred fifty-two million, five hundred thirty-one thousand, eight hundred forty".