32734708416 has 336 divisors, whose sum is σ = 104297195520. Its totient is φ = 10038504960.

The previous prime is 32734708403. The next prime is 32734708417. The reversal of 32734708416 is 61480743723.

32734708416 is a `hidden beast` number, since 32 + 73 + 470 + 84 + 1 + 6 = 666.

It is a super-2 number, since 2×32734708416² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32734708417) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 200826351 + ... + 200826513.

It is an arithmetic number, because the mean of its divisors is an integer number (310408320).

Almost surely, 2^32734708416 is an apocalyptic number.

32734708416 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 32734708416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52148597760).

32734708416 is an abundant number, since it is smaller than the sum of its proper divisors (71562487104).

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

32734708416 is a wasteful number, since it uses less digits than its factorization.

32734708416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 32734708416 in words is "thirty-two billion, seven hundred thirty-four million, seven hundred eight thousand, four hundred sixteen".