34151221520 has 160 divisors (see below), whose sum is σ = 87046928640. Its totient is φ = 12384368640.

The previous prime is 34151221501. The next prime is 34151221549. The reversal of 34151221520 is 2512215143.

It is a super-2 number, since 2×34151221520² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 34151221520.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23406551 + ... + 23408009.

It is an arithmetic number, because the mean of its divisors is an integer number (544043304).

Almost surely, 2^34151221520 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 34151221520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43523464320).

34151221520 is an abundant number, since it is smaller than the sum of its proper divisors (52895707120).

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

34151221520 is a wasteful number, since it uses less digits than its factorization.

34151221520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1873 (or 1867 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 34151221520 its reverse (2512215143), we get a palindrome (36663436663).

The spelling of 34151221520 in words is "thirty-four billion, one hundred fifty-one million, two hundred twenty-one thousand, five hundred twenty".