34622561120 has 144 divisors (see below), whose sum is σ = 97363960848. Its totient is φ = 11594419200.

The previous prime is 34622561101. The next prime is 34622561137. The reversal of 34622561120 is 2116522643.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285770 + ... + 388470.

It is an arithmetic number, because the mean of its divisors is an integer number (676138617).

Almost surely, 2^34622561120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34622561120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48681980424).

34622561120 is an abundant number, since it is smaller than the sum of its proper divisors (62741399728).

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

34622561120 is a wasteful number, since it uses less digits than its factorization.

34622561120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102773 (or 102758 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The spelling of 34622561120 in words is "thirty-four billion, six hundred twenty-two million, five hundred sixty-one thousand, one hundred twenty".