34481095873920 has 512 divisors, whose sum is σ = 129529388736000. Its totient is φ = 8644506624000.

The previous prime is 34481095873909. The next prime is 34481095873927. The reversal of 34481095873920 is 2937859018443.

34481095873920 is a `hidden beast` number, since 3 + 4 + 4 + 8 + 10 + 9 + 587 + 39 + 2 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34481095873927) 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, 42609070 + ... + 43410770.

It is an arithmetic number, because the mean of its divisors is an integer number (252987087375).

Almost surely, 2^{34481095873920} is an apocalyptic number.

34481095873920 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 34481095873920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64764694368000).

34481095873920 is an abundant number, since it is smaller than the sum of its proper divisors (95048292862080).

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

34481095873920 is a wasteful number, since it uses less digits than its factorization.

34481095873920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801879 (or 801861 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 34481095873920 in words is "thirty-four trillion, four hundred eighty-one billion, ninety-five million, eight hundred seventy-three thousand, nine hundred twenty".