34874530725888 has 1520 divisors, whose sum is σ = 128257880699520. Its totient is φ = 9221865209856.

The previous prime is 34874530725851. The next prime is 34874530725919. The reversal of 34874530725888 is 88852703547843.

34874530725888 is a `hidden beast` number, since 3 + 4 + 8 + 7 + 4 + 5 + 30 + 7 + 2 + 588 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 149676097420 + ... + 149676097652.

Almost surely, 2^{34874530725888} is an apocalyptic number.

34874530725888 is a gapful number since it is divisible by the number (38) 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 34874530725888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64128940349760).

34874530725888 is an abundant number, since it is smaller than the sum of its proper divisors (93383349973632).

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

34874530725888 is an frugal number, since it uses more digits than its factorization.

34874530725888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1445068800, while the sum is 72.

The spelling of 34874530725888 in words is "thirty-four trillion, eight hundred seventy-four billion, five hundred thirty million, seven hundred twenty-five thousand, eight hundred eighty-eight".