346026540420 has 288 divisors, whose sum is σ = 1237878794880. Its totient is φ = 77322055680.

The previous prime is 346026540359. The next prime is 346026540469. The reversal of 346026540420 is 24045620643.

346026540420 is a `hidden beast` number, since 3 + 4 + 602 + 6 + 5 + 4 + 0 + 42 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1267644 + ... + 1516236.

It is an arithmetic number, because the mean of its divisors is an integer number (4298190260).

Almost surely, 2^346026540420 is an apocalyptic number.

346026540420 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 346026540420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618939397440).

346026540420 is an abundant number, since it is smaller than the sum of its proper divisors (891852254460).

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

346026540420 is a wasteful number, since it uses less digits than its factorization.

346026540420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248675 (or 248670 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

It can be divided in two parts, 346026 and 540420, that added together give a triangular number (886446 = T₁₃₃₁).

The spelling of 346026540420 in words is "three hundred forty-six billion, twenty-six million, five hundred forty thousand, four hundred twenty".