34246224315072 has 2688 divisors, whose sum is σ = 136948444416000. Its totient is φ = 8189558784000.

The previous prime is 34246224315049. The next prime is 34246224315073. The reversal of 34246224315072 is 27051342264243.

It is a happy number.

34246224315072 is a `hidden beast` number, since 3 + 4 + 2 + 4 + 622 + 4 + 3 + 15 + 0 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (34246224315073) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 249972440188 + ... + 249972440324.

It is an arithmetic number, because the mean of its divisors is an integer number (50948082000).

Almost surely, 2^{34246224315072} is an apocalyptic number.

34246224315072 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 34246224315072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68474222208000).

34246224315072 is an abundant number, since it is smaller than the sum of its proper divisors (102702220100928).

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

34246224315072 is a wasteful number, since it uses less digits than its factorization.

34246224315072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 45.

The spelling of 34246224315072 in words is "thirty-four trillion, two hundred forty-six billion, two hundred twenty-four million, three hundred fifteen thousand, seventy-two".