3485018234880 has 3360 divisors, whose sum is σ = 16742932412976. Its totient is φ = 684913065984.

The previous prime is 3485018234861. The next prime is 3485018234911. The reversal of 3485018234880 is 884328105843.

3485018234880 is a `hidden beast` number, since 3 + 4 + 85 + 0 + 1 + 82 + 3 + 488 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1247385194496 + 2237633040384 = 1116864^2 + 1495872^2 .

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-2 number, since 2×3485018234880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 35928022992 + ... + 35928023088.

Almost surely, 2^{3485018234880} is an apocalyptic number.

3485018234880 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 3485018234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8371466206488).

3485018234880 is an abundant number, since it is smaller than the sum of its proper divisors (13257914178096).

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

3485018234880 is a wasteful number, since it uses less digits than its factorization.

3485018234880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 3485018234880 in words is "three trillion, four hundred eighty-five billion, eighteen million, two hundred thirty-four thousand, eight hundred eighty".