348234256440 has 1152 divisors, whose sum is σ = 1441827129600. Its totient is φ = 72425041920.

The previous prime is 348234256429. The next prime is 348234256451. The reversal of 348234256440 is 44652432843.

348234256440 is a `hidden beast` number, since 3 + 4 + 8 + 2 + 3 + 42 + 564 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (348234256429) and next prime (348234256451).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1052067075 + ... + 1052067405.

It is an arithmetic number, because the mean of its divisors is an integer number (1251586050).

Almost surely, 2^348234256440 is an apocalyptic number.

348234256440 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 348234256440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720913564800).

348234256440 is an abundant number, since it is smaller than the sum of its proper divisors (1093592873160).

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

348234256440 is a wasteful number, since it uses less digits than its factorization.

348234256440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 45.

The spelling of 348234256440 in words is "three hundred forty-eight billion, two hundred thirty-four million, two hundred fifty-six thousand, four hundred forty".