346542082272 has 96 divisors (see below), whose sum is σ = 1023226313760. Its totient is φ = 115514004096.

The previous prime is 346542082267. The next prime is 346542082277. The reversal of 346542082272 is 272280245643.

346542082272 is a `hidden beast` number, since 3 + 4 + 6 + 542 + 0 + 82 + 27 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (346542082267) and next prime (346542082277).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×346542082272³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (346542082277) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2405883 + ... + 2545850.

It is an arithmetic number, because the mean of its divisors is an integer number (10658607435).

Almost surely, 2^346542082272 is an apocalyptic number.

346542082272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

346542082272 is an abundant number, since it is smaller than the sum of its proper divisors (676684231488).

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

346542082272 is an frugal number, since it uses more digits than its factorization.

346542082272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4951764 (or 4951738 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 346542082272 in words is "three hundred forty-six billion, five hundred forty-two million, eighty-two thousand, two hundred seventy-two".