3487152881664 has 225 divisors, whose sum is σ = 10424520347241. Its totient is φ = 1161667215360.

The previous prime is 3487152881657. The next prime is 3487152881677. The reversal of 3487152881664 is 4661882517843.

The square root of 3487152881664 is 1867392.

It is a perfect power (a square), and thus also a powerful number.

3487152881664 is a `hidden beast` number, since 3 + 48 + 7 + 1 + 528 + 8 + 1 + 6 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2679742808064 + 807410073600 = 1636992^2 + 898560^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2151234774 + ... + 2151236394.

Almost surely, 2^{3487152881664} is an apocalyptic number.

3487152881664 is the 1867392-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3487152881664

3487152881664 is an abundant number, since it is smaller than the sum of its proper divisors (6937367465577).

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

3487152881664 is an frugal number, since it uses more digits than its factorization.

3487152881664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282 (or 1626 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 3487152881664 in words is "three trillion, four hundred eighty-seven billion, one hundred fifty-two million, eight hundred eighty-one thousand, six hundred sixty-four".