3472498398240 has 144 divisors (see below), whose sum is σ = 11911300186968. Its totient is φ = 921201573888.

The previous prime is 3472498398211. The next prime is 3472498398251. The reversal of 3472498398240 is 428938942743.

3472498398240 is a `hidden beast` number, since 3 + 4 + 72 + 498 + 39 + 8 + 2 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1265598000144 + 2206900398096 = 1124988^2 + 1485564^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5969379 + ... + 6525218.

Almost surely, 2^{3472498398240} is an apocalyptic number.

3472498398240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3472498398240 is an abundant number, since it is smaller than the sum of its proper divisors (8438801788728).

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

3472498398240 is a wasteful number, since it uses less digits than its factorization.

3472498398240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12494811 (or 12494800 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 3472498398240 in words is "three trillion, four hundred seventy-two billion, four hundred ninety-eight million, three hundred ninety-eight thousand, two hundred forty".