34726260016 has 360 divisors, whose sum is σ = 87927955584. Its totient is φ = 13220444160.

The previous prime is 34726260007. The next prime is 34726260029. The reversal of 34726260016 is 61006262743.

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 475702156 + ... + 475702228.

Almost surely, 2^34726260016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34726260016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43963977792).

34726260016 is an abundant number, since it is smaller than the sum of its proper divisors (53201695568).

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

34726260016 is a wasteful number, since it uses less digits than its factorization.

34726260016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The spelling of 34726260016 in words is "thirty-four billion, seven hundred twenty-six million, two hundred sixty thousand, sixteen".