3385151836416 has 864 divisors, whose sum is σ = 11906432778240. Its totient is φ = 904587264000.

The previous prime is 3385151836399. The next prime is 3385151836439. The reversal of 3385151836416 is 6146381515833.

3385151836416 is a `hidden beast` number, since 3 + 3 + 8 + 51 + 518 + 3 + 64 + 16 = 666.

It is a super-2 number, since 2×3385151836416² (a number of 26 digits) contains 22 as substring.

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, 2171360245 + ... + 2171361803.

Almost surely, 2^{3385151836416} is an apocalyptic number.

3385151836416 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 3385151836416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5953216389120).

3385151836416 is an abundant number, since it is smaller than the sum of its proper divisors (8521280941824).

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

3385151836416 is a wasteful number, since it uses less digits than its factorization.

3385151836416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763 (or 1746 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 3385151836416 in words is "three trillion, three hundred eighty-five billion, one hundred fifty-one million, eight hundred thirty-six thousand, four hundred sixteen".