34150541220 has 240 divisors, whose sum is σ = 114173756928. Its totient is φ = 8525088000.

The previous prime is 34150541213. The next prime is 34150541281. The reversal of 34150541220 is 2214505143.

34150541220 is a `hidden beast` number, since 34 + 1 + 505 + 4 + 122 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1741470 + ... + 1760970.

Almost surely, 2^34150541220 is an apocalyptic number.

34150541220 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 34150541220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57086878464).

34150541220 is an abundant number, since it is smaller than the sum of its proper divisors (80023215708).

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

34150541220 is a wasteful number, since it uses less digits than its factorization.

34150541220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19592 (or 19581 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 34150541220 in words is "thirty-four billion, one hundred fifty million, five hundred forty-one thousand, two hundred twenty".