34819525375488 has 800 divisors, whose sum is σ = 121302071795520. Its totient is φ = 9737572515840.

The previous prime is 34819525375487. The next prime is 34819525375499. The reversal of 34819525375488 is 88457352591843.

34819525375488 is a `hidden beast` number, since 3 + 4 + 8 + 1 + 9 + 5 + 2 + 537 + 5 + 4 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34819525375487) 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, 7092995178 + ... + 7093000086.

Almost surely, 2^{34819525375488} 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 34819525375488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60651035897760).

34819525375488 is an abundant number, since it is smaller than the sum of its proper divisors (86482546420032).

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

34819525375488 is an equidigital number, since it uses as much as digits as its factorization.

34819525375488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5460 (or 5435 counting only the distinct ones).

The product of its digits is 1161216000, while the sum is 72.

The spelling of 34819525375488 in words is "thirty-four trillion, eight hundred nineteen billion, five hundred twenty-five million, three hundred seventy-five thousand, four hundred eighty-eight".