3487534560 has 144 divisors (see below), whose sum is σ = 11949865200. Its totient is φ = 926208000.

The previous prime is 3487534549. The next prime is 3487534601. The reversal of 3487534560 is 654357843.

3487534560 is a `hidden beast` number, since 3 + 4 + 87 + 5 + 3 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 356616 + ... + 366264.

It is an arithmetic number, because the mean of its divisors is an integer number (82985175).

Almost surely, 2^3487534560 is an apocalyptic number.

3487534560 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 3487534560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5974932600).

3487534560 is an abundant number, since it is smaller than the sum of its proper divisors (8462330640).

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

3487534560 is a wasteful number, since it uses less digits than its factorization.

3487534560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9921 (or 9910 counting only the distinct ones).

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

The square root of 3487534560 is about 59055.3516626563. The cubic root of 3487534560 is about 1516.4898457200.

The spelling of 3487534560 in words is "three billion, four hundred eighty-seven million, five hundred thirty-four thousand, five hundred sixty".