3499853870016 has 672 divisors, whose sum is σ = 13005274675200. Its totient is φ = 916756807680.

The previous prime is 3499853869999. The next prime is 3499853870053. The reversal of 3499853870016 is 6100783589943.

3499853870016 is a `hidden beast` number, since 3 + 4 + 9 + 98 + 538 + 7 + 0 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3499853870016² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49836720 + ... + 49906896.

Almost surely, 2^{3499853870016} is an apocalyptic number.

3499853870016 is a gapful number since it is divisible by the number (36) 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 3499853870016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6502637337600).

3499853870016 is an abundant number, since it is smaller than the sum of its proper divisors (9505420805184).

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

3499853870016 is a wasteful number, since it uses less digits than its factorization.

3499853870016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70262 (or 70239 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 3499853870016 in words is "three trillion, four hundred ninety-nine billion, eight hundred fifty-three million, eight hundred seventy thousand, sixteen".