348324290496 has 224 divisors, whose sum is σ = 1260319226880. Its totient is φ = 91865705472.

The previous prime is 348324290473. The next prime is 348324290519. The reversal of 348324290496 is 694092423843.

348324290496 is a `hidden beast` number, since 3 + 48 + 3 + 24 + 2 + 90 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (348324290473) and next prime (348324290519).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×348324290496² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 950316 + ... + 1264811.

It is an arithmetic number, because the mean of its divisors is an integer number (5626425120).

Almost surely, 2^348324290496 is an apocalyptic number.

348324290496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

348324290496 is an abundant number, since it is smaller than the sum of its proper divisors (911994936384).

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

348324290496 is a wasteful number, since it uses less digits than its factorization.

348324290496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215168 (or 2215152 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 348324290496 in words is "three hundred forty-eight billion, three hundred twenty-four million, two hundred ninety thousand, four hundred ninety-six".