340420534272 has 672 divisors, whose sum is σ = 1249123800960. Its totient is φ = 89712230400.

The previous prime is 340420534231. The next prime is 340420534291. The reversal of 340420534272 is 272435024043.

340420534272 is a `hidden beast` number, since 3 + 40 + 4 + 205 + 342 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×340420534272² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261660022 + ... + 261661322.

It is an arithmetic number, because the mean of its divisors is an integer number (1858815180).

Almost surely, 2^340420534272 is an apocalyptic number.

340420534272 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 340420534272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624561900480).

340420534272 is an abundant number, since it is smaller than the sum of its proper divisors (908703266688).

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

340420534272 is a wasteful number, since it uses less digits than its factorization.

340420534272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

The spelling of 340420534272 in words is "three hundred forty billion, four hundred twenty million, five hundred thirty-four thousand, two hundred seventy-two".