34931471616 has 648 divisors, whose sum is σ = 116490585120. Its totient is φ = 10423074816.

The previous prime is 34931471581. The next prime is 34931471693. The reversal of 34931471616 is 61617413943.

34931471616 is a `hidden beast` number, since 3 + 493 + 147 + 1 + 6 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 521365215 + ... + 521365281.

Almost surely, 2^34931471616 is an apocalyptic number.

34931471616 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 34931471616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58245292560).

34931471616 is an abundant number, since it is smaller than the sum of its proper divisors (81559113504).

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

34931471616 is an equidigital number, since it uses as much as digits as its factorization.

34931471616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 118 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The spelling of 34931471616 in words is "thirty-four billion, nine hundred thirty-one million, four hundred seventy-one thousand, six hundred sixteen".