34395252480 has 288 divisors, whose sum is σ = 127365073920. Its totient is φ = 8773079040.

The previous prime is 34395252473. The next prime is 34395252491. The reversal of 34395252480 is 8425259343.

34395252480 is a `hidden beast` number, since 3 + 4 + 395 + 252 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 773245 + ... + 816515.

It is an arithmetic number, because the mean of its divisors is an integer number (442239840).

Almost surely, 2^34395252480 is an apocalyptic number.

34395252480 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 34395252480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63682536960).

34395252480 is an abundant number, since it is smaller than the sum of its proper divisors (92969821440).

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

34395252480 is a wasteful number, since it uses less digits than its factorization.

34395252480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43324 (or 43304 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 34395252480 in words is "thirty-four billion, three hundred ninety-five million, two hundred fifty-two thousand, four hundred eighty".