3487754534880 has 192 divisors, whose sum is σ = 13697363409408. Its totient is φ = 724728207360.

The previous prime is 3487754534867. The next prime is 3487754534909. The reversal of 3487754534880 is 884354577843.

It is a super-2 number, since 2×3487754534880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47145867 + ... + 47219786.

It is an arithmetic number, because the mean of its divisors is an integer number (71340434424).

Almost surely, 2^{3487754534880} is an apocalyptic number.

3487754534880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3487754534880 is an abundant number, since it is smaller than the sum of its proper divisors (10209608874528).

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

3487754534880 is a wasteful number, since it uses less digits than its factorization.

3487754534880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94365689 (or 94365681 counting only the distinct ones).

The product of its (nonzero) digits is 361267200, while the sum is 66.

The spelling of 3487754534880 in words is "three trillion, four hundred eighty-seven billion, seven hundred fifty-four million, five hundred thirty-four thousand, eight hundred eighty".