34023100416 has 208 divisors, whose sum is σ = 96568351488. Its totient is φ = 10616832000.

The previous prime is 34023100409. The next prime is 34023100417. The reversal of 34023100416 is 61400132043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34023100417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56610516 + ... + 56611116.

Almost surely, 2^34023100416 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 34023100416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48284175744).

34023100416 is an abundant number, since it is smaller than the sum of its proper divisors (62545251072).

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

34023100416 is a wasteful number, since it uses less digits than its factorization.

34023100416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 34023100416 its reverse (61400132043), we get a palindrome (95423232459).

The spelling of 34023100416 in words is "thirty-four billion, twenty-three million, one hundred thousand, four hundred sixteen".