3512881680 has 320 divisors, whose sum is σ = 13697980416. Its totient is φ = 729484800.

The previous prime is 3512881637. The next prime is 3512881727. The reversal of 3512881680 is 861882153.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2235295 + ... + 2236865.

Almost surely, 2^3512881680 is an apocalyptic number.

3512881680 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 3512881680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6848990208).

3512881680 is an abundant number, since it is smaller than the sum of its proper divisors (10185098736).

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

3512881680 is a wasteful number, since it uses less digits than its factorization.

3512881680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 3512881680 is about 59269.5679079914. The cubic root of 3512881680 is about 1520.1548895716.

The spelling of 3512881680 in words is "three billion, five hundred twelve million, eight hundred eighty-one thousand, six hundred eighty".