348511887360 has 896 divisors, whose sum is σ = 1525459138560. Its totient is φ = 73510944768.

The previous prime is 348511887341. The next prime is 348511887379. The reversal of 348511887360 is 63788115843.

It is a happy number.

348511887360 is a `hidden beast` number, since 3 + 48 + 511 + 8 + 87 + 3 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (348511887341) and next prime (348511887379).

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 348511887297 and 348511887306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100636989 + ... + 100640451.

It is an arithmetic number, because the mean of its divisors is an integer number (1702521360).

Almost surely, 2^348511887360 is an apocalyptic number.

348511887360 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 348511887360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762729569280).

348511887360 is an abundant number, since it is smaller than the sum of its proper divisors (1176947251200).

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

348511887360 is a wasteful number, since it uses less digits than its factorization.

348511887360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523 (or 3493 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 348511887360 in words is "three hundred forty-eight billion, five hundred eleven million, eight hundred eighty-seven thousand, three hundred sixty".