34561123005420 has 288 divisors, whose sum is σ = 116020584912960. Its totient is φ = 8257833492480.

The previous prime is 34561123005419. The next prime is 34561123005427. The reversal of 34561123005420 is 2450032116543.

34561123005420 is a `hidden beast` number, since 3 + 4 + 5 + 611 + 2 + 30 + 0 + 5 + 4 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34561123005427) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54843562 + ... + 55470158.

It is an arithmetic number, because the mean of its divisors is an integer number (402849253170).

Almost surely, 2^{34561123005420} is an apocalyptic number.

34561123005420 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 34561123005420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58010292456480).

34561123005420 is an abundant number, since it is smaller than the sum of its proper divisors (81459461907540).

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

34561123005420 is a wasteful number, since it uses less digits than its factorization.

34561123005420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627025 (or 627020 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 34561123005420 in words is "thirty-four trillion, five hundred sixty-one billion, one hundred twenty-three million, five thousand, four hundred twenty".