340847575990272 has 1280 divisors, whose sum is σ = 1148842751696640. Its totient is φ = 99921376051200.

The previous prime is 340847575990219. The next prime is 340847575990321. The reversal of 340847575990272 is 272099575748043.

340847575990272 is a `hidden beast` number, since 3 + 4 + 0 + 8 + 4 + 7 + 5 + 7 + 599 + 0 + 27 + 2 = 666.

It is a super-2 number, since 2×340847575990272² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 340847575990272.

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, 246812147022 + ... + 246812148402.

It is an arithmetic number, because the mean of its divisors is an integer number (897533399763).

Almost surely, 2^{340847575990272} is an apocalyptic number.

340847575990272 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 340847575990272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574421375848320).

340847575990272 is an abundant number, since it is smaller than the sum of its proper divisors (807995175706368).

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

340847575990272 is a wasteful number, since it uses less digits than its factorization.

340847575990272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 1066867200, while the sum is 72.

The spelling of 340847575990272 in words is "three hundred forty trillion, eight hundred forty-seven billion, five hundred seventy-five million, nine hundred ninety thousand, two hundred seventy-two".