34238920320 has 640 divisors, whose sum is σ = 134981985600. Its totient is φ = 8201502720.

The previous prime is 34238920319. The next prime is 34238920321. The reversal of 34238920320 is 2302983243.

34238920320 is a `hidden beast` number, since 3 + 423 + 8 + 9 + 203 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (34238920319) and next prime (34238920321).

It is a tau number, because it is divible by the number of its divisors (640).

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

It is not an unprimeable number, because it can be changed into a prime (34238920321) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55312971 + ... + 55313589.

Almost surely, 2^34238920320 is an apocalyptic number.

34238920320 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 34238920320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67490992800).

34238920320 is an abundant number, since it is smaller than the sum of its proper divisors (100743065280).

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

34238920320 is a wasteful number, since it uses less digits than its factorization.

34238920320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 34238920320 in words is "thirty-four billion, two hundred thirty-eight million, nine hundred twenty thousand, three hundred twenty".