346533396480 has 600 divisors, whose sum is σ = 1319091791472. Its totient is φ = 86973087744.

The previous prime is 346533396449. The next prime is 346533396481. The reversal of 346533396480 is 84693335643.

It is a happy number.

346533396480 is a `hidden beast` number, since 3 + 46 + 5 + 3 + 33 + 96 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346533396481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20384317432 + ... + 20384317448.

Almost surely, 2^346533396480 is an apocalyptic number.

346533396480 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 346533396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659545895736).

346533396480 is an abundant number, since it is smaller than the sum of its proper divisors (972558394992).

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

346533396480 is an frugal number, since it uses more digits than its factorization.

346533396480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 346533396480 in words is "three hundred forty-six billion, five hundred thirty-three million, three hundred ninety-six thousand, four hundred eighty".