34485925824 has 448 divisors, whose sum is σ = 126933350400. Its totient is φ = 8952201216.

The previous prime is 34485925823. The next prime is 34485925829. The reversal of 34485925824 is 42852958443.

34485925824 is a `hidden beast` number, since 3 + 4 + 4 + 8 + 59 + 2 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34485925823) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5960437 + ... + 5966219.

Almost surely, 2^34485925824 is an apocalyptic number.

34485925824 is a gapful number since it is divisible by the number (34) 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 34485925824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63466675200).

34485925824 is an abundant number, since it is smaller than the sum of its proper divisors (92447424576).

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

34485925824 is a wasteful number, since it uses less digits than its factorization.

34485925824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5857 (or 5841 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 34485925824 in words is "thirty-four billion, four hundred eighty-five million, nine hundred twenty-five thousand, eight hundred twenty-four".