3488855764275 has 72 divisors (see below), whose sum is σ = 7156543380480. Its totient is φ = 1591575491520.

The previous prime is 3488855764259. The next prime is 3488855764291. The reversal of 3488855764275 is 5724675588843.

It is a happy number.

3488855764275 is a `hidden beast` number, since 3 + 4 + 8 + 8 + 8 + 5 + 576 + 42 + 7 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (3488855764259) and next prime (3488855764291).

It is not a de Polignac number, because 3488855764275 - 2⁴ = 3488855764259 is a prime.

It is a super-2 number, since 2×3488855764275² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1557837 + ... + 3066686.

It is an arithmetic number, because the mean of its divisors is an integer number (99396435840).

Almost surely, 2^{3488855764275} is an apocalyptic number.

3488855764275 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3488855764275 is an abundant number, since it is smaller than the sum of its proper divisors (3667687616205).

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

3488855764275 is a wasteful number, since it uses less digits than its factorization.

3488855764275 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4625025 (or 4625017 counting only the distinct ones).

The product of its digits is 1806336000, while the sum is 72.

The spelling of 3488855764275 in words is "three trillion, four hundred eighty-eight billion, eight hundred fifty-five million, seven hundred sixty-four thousand, two hundred seventy-five".