348767640 has 128 divisors (see below), whose sum is σ = 1252036800. Its totient is φ = 85847040.

The previous prime is 348767621. The next prime is 348767641. The reversal of 348767640 is 46767843.

It is a super-4 number, since 4×348767640⁴ (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348767641) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1620 + ... + 26460.

Almost surely, 2^348767640 is an apocalyptic number.

348767640 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 348767640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626018400).

348767640 is an abundant number, since it is smaller than the sum of its proper divisors (903269160).

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

348767640 is a wasteful number, since it uses less digits than its factorization.

348767640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24874 (or 24864 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 348767640 is about 18675.3216839764. The cubic root of 348767640 is about 703.9017758536.

The spelling of 348767640 in words is "three hundred forty-eight million, seven hundred sixty-seven thousand, six hundred forty".