34215968640 has 256 divisors, whose sum is σ = 125286289920. Its totient is φ = 7780491264.

The previous prime is 34215968609. The next prime is 34215968641. The reversal of 34215968640 is 4686951243.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 34215968640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34215968641) 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, 2641219 + ... + 2654141.

It is an arithmetic number, because the mean of its divisors is an integer number (489399570).

Almost surely, 2^34215968640 is an apocalyptic number.

34215968640 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 34215968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62643144960).

34215968640 is an abundant number, since it is smaller than the sum of its proper divisors (91070321280).

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

34215968640 is a wasteful number, since it uses less digits than its factorization.

34215968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13149 (or 13137 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 34215968640 in words is "thirty-four billion, two hundred fifteen million, nine hundred sixty-eight thousand, six hundred forty".