34786297152 has 224 divisors, whose sum is σ = 108378345600. Its totient is φ = 10921881600.

The previous prime is 34786297151. The next prime is 34786297171. The reversal of 34786297152 is 25179268743.

It is a happy number.

34786297152 is a `hidden beast` number, since 3 + 4 + 7 + 8 + 629 + 7 + 1 + 5 + 2 = 666.

It is a super-2 number, since 2×34786297152² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34786297151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2046127 + ... + 2063057.

It is an arithmetic number, because the mean of its divisors is an integer number (483831900).

Almost surely, 2^34786297152 is an apocalyptic number.

34786297152 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 34786297152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54189172800).

34786297152 is an abundant number, since it is smaller than the sum of its proper divisors (73592048448).

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

34786297152 is a wasteful number, since it uses less digits than its factorization.

34786297152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17022 (or 17006 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 34786297152 in words is "thirty-four billion, seven hundred eighty-six million, two hundred ninety-seven thousand, one hundred fifty-two".