34064515320 has 192 divisors, whose sum is σ = 112485058560. Its totient is φ = 8246557440.

The previous prime is 34064515279. The next prime is 34064515321. The reversal of 34064515320 is 2351546043.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34064515321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15433657 + ... + 15435863.

It is an arithmetic number, because the mean of its divisors is an integer number (585859680).

Almost surely, 2^34064515320 is an apocalyptic number.

34064515320 is a gapful number since it is divisible by the number (30) 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 34064515320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56242529280).

34064515320 is an abundant number, since it is smaller than the sum of its proper divisors (78420543240).

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

34064515320 is a wasteful number, since it uses less digits than its factorization.

34064515320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3306 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 34064515320 in words is "thirty-four billion, sixty-four million, five hundred fifteen thousand, three hundred twenty".