3414995849160 has 768 divisors, whose sum is σ = 13941607680000. Its totient is φ = 722269094400.

The previous prime is 3414995849143. The next prime is 3414995849227. The reversal of 3414995849160 is 619485994143.

3414995849160 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 99 + 58 + 491 + 6 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 100866235 + ... + 100900085.

It is an arithmetic number, because the mean of its divisors is an integer number (18153135000).

Almost surely, 2^{3414995849160} is an apocalyptic number.

3414995849160 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 3414995849160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6970803840000).

3414995849160 is an abundant number, since it is smaller than the sum of its proper divisors (10526611830840).

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

3414995849160 is a wasteful number, since it uses less digits than its factorization.

3414995849160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33951 (or 33930 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 3414995849160 in words is "three trillion, four hundred fourteen billion, nine hundred ninety-five million, eight hundred forty-nine thousand, one hundred sixty".