346250849371552 has 576 divisors, whose sum is σ = 795736306632960. Its totient is φ = 147507038945280.

The previous prime is 346250849371549. The next prime is 346250849371573. The reversal of 346250849371552 is 255173948052643.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147529120843 + ... + 147529123189.

It is an arithmetic number, because the mean of its divisors is an integer number (1381486643460).

It is a 2-persistent number, because it is pandigital, and so is 2⋅346250849371552 = 692501698743104, but 3⋅346250849371552 = 1038752548114656 is not.

Almost surely, 2^{346250849371552} is an apocalyptic number.

346250849371552 is a gapful number since it is divisible by the number (32) 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 346250849371552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397868153316480).

346250849371552 is an abundant number, since it is smaller than the sum of its proper divisors (449485457261408).

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

346250849371552 is a wasteful number, since it uses less digits than its factorization.

346250849371552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765 (or 2726 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 64.

It can be divided in two parts, 3462508 and 49371552, that added together give a triangular number (52834060 = T₁₀₂₇₉).

The spelling of 346250849371552 in words is "three hundred forty-six trillion, two hundred fifty billion, eight hundred forty-nine million, three hundred seventy-one thousand, five hundred fifty-two".