34526471616 has 280 divisors, whose sum is σ = 125967601760. Its totient is φ = 9105758208.

The previous prime is 34526471599. The next prime is 34526471627. The reversal of 34526471616 is 61617462543.

34526471616 is a `hidden beast` number, since 3 + 4 + 5 + 26 + 4 + 7 + 1 + 616 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 435150 + ... + 508338.

It is an arithmetic number, because the mean of its divisors is an integer number (449884292).

Almost surely, 2^34526471616 is an apocalyptic number.

34526471616 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 34526471616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62983800880).

34526471616 is an abundant number, since it is smaller than the sum of its proper divisors (91441130144).

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

34526471616 is a wasteful number, since it uses less digits than its factorization.

34526471616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73233 (or 73214 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 34526471616 in words is "thirty-four billion, five hundred twenty-six million, four hundred seventy-one thousand, six hundred sixteen".