348650742960 has 960 divisors, whose sum is σ = 1362728779776. Its totient is φ = 82263859200.

The previous prime is 348650742953. The next prime is 348650742967. The reversal of 348650742960 is 69247056843.

348650742960 is a `hidden beast` number, since 3 + 4 + 8 + 6 + 507 + 42 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (348650742953) and next prime (348650742967).

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 = 348650742897 and 348650742906.

It is not an unprimeable number, because it can be changed into a prime (348650742967) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1496355004 + ... + 1496355236.

Almost surely, 2^348650742960 is an apocalyptic number.

348650742960 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 348650742960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (681364389888).

348650742960 is an abundant number, since it is smaller than the sum of its proper divisors (1014078036816).

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

348650742960 is a wasteful number, since it uses less digits than its factorization.

348650742960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 348650742960 in words is "three hundred forty-eight billion, six hundred fifty million, seven hundred forty-two thousand, nine hundred sixty".