3534874560 has 448 divisors, whose sum is σ = 14370954240. Its totient is φ = 801239040.

The previous prime is 3534874537. The next prime is 3534874571. The reversal of 3534874560 is 654784353.

3534874560 is a `hidden beast` number, since 3 + 5 + 3 + 4 + 87 + 4 + 560 = 666.

3534874560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12761142 + ... + 12761418.

Almost surely, 2^3534874560 is an apocalyptic number.

3534874560 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 3534874560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7185477120).

3534874560 is an abundant number, since it is smaller than the sum of its proper divisors (10836079680).

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

3534874560 is a wasteful number, since it uses less digits than its factorization.

3534874560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 3534874560 is about 59454.8110753032. The cubic root of 3534874560 is about 1523.3206718741.

The spelling of 3534874560 in words is "three billion, five hundred thirty-four million, eight hundred seventy-four thousand, five hundred sixty".