3436778024160 has 576 divisors, whose sum is σ = 12252729746880. Its totient is φ = 808330199040.

The previous prime is 3436778024083. The next prime is 3436778024171. The reversal of 3436778024160 is 614208776343.

It is a super-2 number, since 2×3436778024160² (a number of 26 digits) contains 22 as substring.

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, 228183030 + ... + 228198090.

It is an arithmetic number, because the mean of its divisors is an integer number (21272100255).

Almost surely, 2^{3436778024160} is an apocalyptic number.

3436778024160 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 3436778024160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6126364873440).

3436778024160 is an abundant number, since it is smaller than the sum of its proper divisors (8815951722720).

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

3436778024160 is a wasteful number, since it uses less digits than its factorization.

3436778024160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15231 (or 15210 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 3436778024160 in words is "three trillion, four hundred thirty-six billion, seven hundred seventy-eight million, twenty-four thousand, one hundred sixty".