34736812416 has 640 divisors, whose sum is σ = 115260456960. Its totient is φ = 10346434560.

The previous prime is 34736812387. The next prime is 34736812423. The reversal of 34736812416 is 61421863743.

34736812416 is a `hidden beast` number, since 3 + 47 + 368 + 1 + 241 + 6 = 666.

It is a super-2 number, since 2×34736812416² (a number of 22 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 79 ways as a sum of consecutive naturals, for example, 273518145 + ... + 273518271.

It is an arithmetic number, because the mean of its divisors is an integer number (180094464).

Almost surely, 2^34736812416 is an apocalyptic number.

34736812416 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 34736812416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57630228480).

34736812416 is an abundant number, since it is smaller than the sum of its proper divisors (80523644544).

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

34736812416 is a wasteful number, since it uses less digits than its factorization.

34736812416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 223 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 34736812416 in words is "thirty-four billion, seven hundred thirty-six million, eight hundred twelve thousand, four hundred sixteen".