34522302213540 has 576 divisors, whose sum is σ = 117352547020800. Its totient is φ = 8174440415232.

The previous prime is 34522302213527. The next prime is 34522302213551. The reversal of 34522302213540 is 4531220322543.

34522302213540 is a `hidden beast` number, since 3 + 4 + 52 + 2 + 30 + 22 + 13 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34522302213495 and 34522302213504.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 679989237 + ... + 680040003.

It is an arithmetic number, because the mean of its divisors is an integer number (203737060800).

Almost surely, 2^{34522302213540} is an apocalyptic number.

34522302213540 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 34522302213540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58676273510400).

34522302213540 is an abundant number, since it is smaller than the sum of its proper divisors (82830244807260).

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

34522302213540 is a wasteful number, since it uses less digits than its factorization.

34522302213540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51004 (or 50999 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 34522302213540 in words is "thirty-four trillion, five hundred twenty-two billion, three hundred two million, two hundred thirteen thousand, five hundred forty".