347456122160400 has 960 divisors, whose sum is σ = 1429671396960000. Its totient is φ = 79210414080000.

The previous prime is 347456122160347. The next prime is 347456122160443. The reversal of 347456122160400 is 4061221654743.

347456122160400 is a `hidden beast` number, since 3 + 4 + 7 + 4 + 5 + 6 + 12 + 21 + 604 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2425467976 + ... + 2425611224.

It is an arithmetic number, because the mean of its divisors is an integer number (1489241038500).

Almost surely, 2^{347456122160400} is an apocalyptic number.

347456122160400 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 347456122160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714835698480000).

347456122160400 is an abundant number, since it is smaller than the sum of its proper divisors (1082215274799600).

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

347456122160400 is a wasteful number, since it uses less digits than its factorization.

347456122160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144505 (or 144488 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 347456122160400 in words is "three hundred forty-seven trillion, four hundred fifty-six billion, one hundred twenty-two million, one hundred sixty thousand, four hundred".