64034400 has 72 divisors (see below), whose sum is σ = 208439784. Its totient is φ = 17075200.

The previous prime is 64034329. The next prime is 64034401. The reversal of 64034400 is 443046.

It is a super-3 number, since 3×64034400³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64034401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10941 + ... + 15740.

It is an arithmetic number, because the mean of its divisors is an integer number (2894997).

Almost surely, 2^64034400 is an apocalyptic number.

64034400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64034400 is an abundant number, since it is smaller than the sum of its proper divisors (144405384).

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

64034400 is a wasteful number, since it uses less digits than its factorization.

64034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26704 (or 26691 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 64034400 is about 8002.1497111714. The cubic root of 64034400 is about 400.0716538302.

Adding to 64034400 its reverse (443046), we get a palindrome (64477446).

It can be divided in two parts, 6 and 4034400, that multiplied together give a square (24206400 = 4920²).

The spelling of 64034400 in words is "sixty-four million, thirty-four thousand, four hundred".