34554023400960 has 3840 divisors, whose sum is σ = 157993887744000. Its totient is φ = 7112215756800.

The previous prime is 34554023400943. The next prime is 34554023401013. The reversal of 34554023400960 is 6900432045543.

34554023400960 is a `hidden beast` number, since 3 + 4 + 5 + 540 + 2 + 3 + 40 + 0 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 99008662866 + ... + 99008663214.

It is an arithmetic number, because the mean of its divisors is an integer number (41144241600).

Almost surely, 2^{34554023400960} is an apocalyptic number.

34554023400960 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 34554023400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78996943872000).

34554023400960 is an abundant number, since it is smaller than the sum of its proper divisors (123439864343040).

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

34554023400960 is a wasteful number, since it uses less digits than its factorization.

34554023400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 34554023400960 in words is "thirty-four trillion, five hundred fifty-four billion, twenty-three million, four hundred thousand, nine hundred sixty".