340480972800 has 1440 divisors, whose sum is σ = 1382431050000. Its totient is φ = 82492784640.

The previous prime is 340480972697. The next prime is 340480972813. The reversal of 340480972800 is 8279084043.

340480972800 is a `hidden beast` number, since 3 + 4 + 0 + 480 + 97 + 2 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-4 number, since 4×340480972800⁴ (a number of 47 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2285107126 + ... + 2285107274.

Almost surely, 2^340480972800 is an apocalyptic number.

340480972800 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 340480972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691215525000).

340480972800 is an abundant number, since it is smaller than the sum of its proper divisors (1041950077200).

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

340480972800 is a wasteful number, since it uses less digits than its factorization.

340480972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 340480972800 in words is "three hundred forty billion, four hundred eighty million, nine hundred seventy-two thousand, eight hundred".