34229837952 has 360 divisors, whose sum is σ = 107854053615. Its totient is φ = 10775711232.

The previous prime is 34229837933. The next prime is 34229838007. The reversal of 34229837952 is 25973892243.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

34229837952 is a `hidden beast` number, since 342 + 298 + 3 + 7 + 9 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17114918976 + 17114918976 = 130824^2 + 130824^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=130824.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 433289049 + ... + 433289127.

Almost surely, 2^34229837952 is an apocalyptic number.

34229837952 is a gapful number since it is divisible by the number (32) 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 34229837952

34229837952 is an abundant number, since it is smaller than the sum of its proper divisors (73624215663).

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

34229837952 is an frugal number, since it uses more digits than its factorization.

34229837952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 107 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 34229837952 in words is "thirty-four billion, two hundred twenty-nine million, eight hundred thirty-seven thousand, nine hundred fifty-two".