3535234560 has 960 divisors, whose sum is σ = 15282146880. Its totient is φ = 743178240.

The previous prime is 3535234489. The next prime is 3535234603. The reversal of 3535234560 is 654325353.

3535234560 is a `hidden beast` number, since 3 + 535 + 23 + 45 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1924 × 1276 × 1440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 95546862 + ... + 95546898.

It is an arithmetic number, because the mean of its divisors is an integer number (15918903).

Almost surely, 2^3535234560 is an apocalyptic number.

3535234560 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 3535234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7641073440).

3535234560 is an abundant number, since it is smaller than the sum of its proper divisors (11746912320).

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

3535234560 is a wasteful number, since it uses less digits than its factorization.

3535234560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 36.

The square root of 3535234560 is about 59457.8385076350. The cubic root of 3535234560 is about 1523.3723829808.

The spelling of 3535234560 in words is "three billion, five hundred thirty-five million, two hundred thirty-four thousand, five hundred sixty".