34532400 has 120 divisors (see below), whose sum is σ = 126452224. Its totient is φ = 7891200.

The previous prime is 34532387. The next prime is 34532413. The reversal of 34532400 is 423543.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34532387) and next prime (34532413).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6345 + ... + 10455.

Almost surely, 2^34532400 is an apocalyptic number.

34532400 is a gapful number since it is divisible by the number (30) 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 34532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63226112).

34532400 is an abundant number, since it is smaller than the sum of its proper divisors (91919824).

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

34532400 is a wasteful number, since it uses less digits than its factorization.

34532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139 (or 4128 counting only the distinct ones).

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

The square root of 34532400 is about 5876.4274861518. The cubic root of 34532400 is about 325.6433803357.

Adding to 34532400 its reverse (423543), we get a palindrome (34955943).

The spelling of 34532400 in words is "thirty-four million, five hundred thirty-two thousand, four hundred".