34400256 has 96 divisors (see below), whose sum is σ = 100245600. Its totient is φ = 10403840.

The previous prime is 34400239. The next prime is 34400273. The reversal of 34400256 is 65200443.

It is an interprime number because it is at equal distance from previous prime (34400239) and next prime (34400273).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×34400256² = 2366755225731072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67330 + ... + 67838.

It is an arithmetic number, because the mean of its divisors is an integer number (1044225).

Almost surely, 2^34400256 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 34400256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50122800).

34400256 is an abundant number, since it is smaller than the sum of its proper divisors (65845344).

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

34400256 is a wasteful number, since it uses less digits than its factorization.

34400256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 34400256 is about 5865.1731432243. The cubic root of 34400256 is about 325.2274730977.

Adding to 34400256 its reverse (65200443), we get a palindrome (99600699).

The spelling of 34400256 in words is "thirty-four million, four hundred thousand, two hundred fifty-six".