34944612433920 has 1728 divisors, whose sum is σ = 147114819371520. Its totient is φ = 7801587892224.

The previous prime is 34944612433909. The next prime is 34944612434003. The reversal of 34944612433920 is 2933421644943.

34944612433920 is a `hidden beast` number, since 3 + 4 + 9 + 4 + 4 + 6 + 1 + 243 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×34944612433920² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 812665405419 + ... + 812665405461.

It is an arithmetic number, because the mean of its divisors is an integer number (85135890840).

Almost surely, 2^{34944612433920} is an apocalyptic number.

34944612433920 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 34944612433920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73557409685760).

34944612433920 is an abundant number, since it is smaller than the sum of its proper divisors (112170206937600).

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

34944612433920 is an frugal number, since it uses more digits than its factorization.

34944612433920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 34944612433920 in words is "thirty-four trillion, nine hundred forty-four billion, six hundred twelve million, four hundred thirty-three thousand, nine hundred twenty".