344132064 has 120 divisors (see below), whose sum is σ = 1022701680. Its totient is φ = 113508864.

The previous prime is 344132029. The next prime is 344132099. The reversal of 344132064 is 460231443.

It is an interprime number because it is at equal distance from previous prime (344132029) and next prime (344132099).

It is a super-3 number, since 3×344132064³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 266332 + ... + 267620.

It is an arithmetic number, because the mean of its divisors is an integer number (8522514).

Almost surely, 2^344132064 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 344132064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511350840).

344132064 is an abundant number, since it is smaller than the sum of its proper divisors (678569616).

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

344132064 is a wasteful number, since it uses less digits than its factorization.

344132064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 344132064 is about 18550.7968562000. The cubic root of 344132064 is about 700.7692658693.

The spelling of 344132064 in words is "three hundred forty-four million, one hundred thirty-two thousand, sixty-four".