34400352 has 144 divisors (see below), whose sum is σ = 107557632. Its totient is φ = 9596160.

The previous prime is 34400347. The next prime is 34400357. The reversal of 34400352 is 25300443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34400347) and next prime (34400357).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34400357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333933 + ... + 334035.

It is an arithmetic number, because the mean of its divisors is an integer number (746928).

Almost surely, 2^34400352 is an apocalyptic number.

34400352 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 34400352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53778816).

34400352 is an abundant number, since it is smaller than the sum of its proper divisors (73157280).

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

34400352 is a wasteful number, since it uses less digits than its factorization.

34400352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 34400352 is about 5865.1813271202. The cubic root of 34400352 is about 325.2277756323.

Adding to 34400352 its reverse (25300443), we get a palindrome (59700795).

Subtracting from 34400352 its reverse (25300443), we obtain a palindrome (9099909).

The spelling of 34400352 in words is "thirty-four million, four hundred thousand, three hundred fifty-two".