34415052408 has 288 divisors, whose sum is σ = 105885636480. Its totient is φ = 10012464000.

The previous prime is 34415052403. The next prime is 34415052409. The reversal of 34415052408 is 80425051443.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34415052401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 103972803 + ... + 103973133.

It is an arithmetic number, because the mean of its divisors is an integer number (367658460).

Almost surely, 2^34415052408 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 34415052408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52942818240).

34415052408 is an abundant number, since it is smaller than the sum of its proper divisors (71470584072).

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

34415052408 is a wasteful number, since it uses less digits than its factorization.

34415052408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 34415052408 in words is "thirty-four billion, four hundred fifteen million, fifty-two thousand, four hundred eight".