3487735532304 has 135 divisors (see below), whose sum is σ = 10302838634439. Its totient is φ = 1101255704640.

The previous prime is 3487735532299. The next prime is 3487735532353. The reversal of 3487735532304 is 4032355377843.

The square root of 3487735532304 is 1867548.

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

3487735532304 is a `hidden beast` number, since 3 + 4 + 8 + 7 + 73 + 5 + 532 + 30 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 425796849 + ... + 425805039.

Almost surely, 2^{3487735532304} is an apocalyptic number.

3487735532304 is the 1867548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3487735532304

3487735532304 is an abundant number, since it is smaller than the sum of its proper divisors (6815103102135).

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

3487735532304 is an frugal number, since it uses more digits than its factorization.

3487735532304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16434 (or 8215 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 54.

The spelling of 3487735532304 in words is "three trillion, four hundred eighty-seven billion, seven hundred thirty-five million, five hundred thirty-two thousand, three hundred four".