34687628416 has 256 divisors, whose sum is σ = 83329920000. Its totient is φ = 14371209216.

The previous prime is 34687628413. The next prime is 34687628429. The reversal of 34687628416 is 61482678643.

It is a happy number.

Its product of digits (9289728) is a multiple of the sum of its prime factors (324).

It is not an unprimeable number, because it can be changed into a prime (34687628413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253194300 + ... + 253194436.

It is an arithmetic number, because the mean of its divisors is an integer number (325507500).

Almost surely, 2^34687628416 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 34687628416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41664960000).

34687628416 is an abundant number, since it is smaller than the sum of its proper divisors (48642291584).

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

34687628416 is an equidigital number, since it uses as much as digits as its factorization.

34687628416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 298 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 55.

The spelling of 34687628416 in words is "thirty-four billion, six hundred eighty-seven million, six hundred twenty-eight thousand, four hundred sixteen".