34256297152 has 224 divisors, whose sum is σ = 93096161280. Its totient is φ = 12093649920.

The previous prime is 34256297149. The next prime is 34256297233. The reversal of 34256297152 is 25179265243.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×34256297152² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (46).

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, 2145583 + ... + 2161489.

Almost surely, 2^34256297152 is an apocalyptic number.

34256297152 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 34256297152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46548080640).

34256297152 is an abundant number, since it is smaller than the sum of its proper divisors (58839864128).

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

34256297152 is a wasteful number, since it uses less digits than its factorization.

34256297152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15979 (or 15969 counting only the distinct ones).

The product of its digits is 907200, while the sum is 46.

The spelling of 34256297152 in words is "thirty-four billion, two hundred fifty-six million, two hundred ninety-seven thousand, one hundred fifty-two".