348416640 has 640 divisors, whose sum is σ = 1492888320. Its totient is φ = 76308480.

The previous prime is 348416597. The next prime is 348416641. The reversal of 348416640 is 46614843.

348416640 is a `hidden beast` number, since 3 + 4 + 8 + 4 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 348416595 and 348416604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348416641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7413097 + ... + 7413143.

It is an arithmetic number, because the mean of its divisors is an integer number (2332638).

Almost surely, 2^348416640 is an apocalyptic number.

348416640 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 348416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746444160).

348416640 is an abundant number, since it is smaller than the sum of its proper divisors (1144471680).

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

348416640 is a wasteful number, since it uses less digits than its factorization.

348416640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 348416640 is about 18665.9218899041. The cubic root of 348416640 is about 703.6655608449.

The spelling of 348416640 in words is "three hundred forty-eight million, four hundred sixteen thousand, six hundred forty".