346761825396480 has 720 divisors, whose sum is σ = 1337456551140864. Its totient is φ = 85277871636480.

The previous prime is 346761825396433. The next prime is 346761825396599. The reversal of 346761825396480 is 84693528167643.

It is a happy number.

346761825396480 is a `hidden beast` number, since 3 + 4 + 6 + 7 + 6 + 1 + 8 + 2 + 53 + 96 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-4 number, since 4×346761825396480⁴ (a number of 59 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 346761825396399 and 346761825396408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1464983740 + ... + 1465220420.

It is a 1-persistent number, because it is pandigital, but 2⋅346761825396480 = 693523650792960 is not.

Almost surely, 2^{346761825396480} is an apocalyptic number.

346761825396480 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 346761825396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668728275570432).

346761825396480 is an abundant number, since it is smaller than the sum of its proper divisors (990694725744384).

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

346761825396480 is a wasteful number, since it uses less digits than its factorization.

346761825396480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237814 (or 237791 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 346761825396480 in words is "three hundred forty-six trillion, seven hundred sixty-one billion, eight hundred twenty-five million, three hundred ninety-six thousand, four hundred eighty".