3533574240 has 288 divisors, whose sum is σ = 14387556960. Its totient is φ = 807625728.

The previous prime is 3533574199. The next prime is 3533574241. The reversal of 3533574240 is 424753353.

3533574240 is a `hidden beast` number, since 35 + 33 + 574 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3533574240² = 24972293819183155200, which contains 22 as substring.

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 = 3533574195 and 3533574204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3533574241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203334 + ... + 220026.

It is an arithmetic number, because the mean of its divisors is an integer number (49956795).

Almost surely, 2^3533574240 is an apocalyptic number.

3533574240 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 3533574240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7193778480).

3533574240 is an abundant number, since it is smaller than the sum of its proper divisors (10853982720).

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

3533574240 is a wasteful number, since it uses less digits than its factorization.

3533574240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16731 (or 16710 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 36.

The square root of 3533574240 is about 59443.8747054732. The cubic root of 3533574240 is about 1523.1338621081.

The spelling of 3533574240 in words is "three billion, five hundred thirty-three million, five hundred seventy-four thousand, two hundred forty".