3427497271296 has 504 divisors, whose sum is σ = 11542621810824. Its totient is φ = 977155522560.

The previous prime is 3427497271271. The next prime is 3427497271307. The reversal of 3427497271296 is 6921727947243.

3427497271296 is a `hidden beast` number, since 3 + 4 + 2 + 74 + 9 + 7 + 271 + 296 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2496355666 + ... + 2496357038.

Almost surely, 2^{3427497271296} is an apocalyptic number.

3427497271296 is a gapful number since it is divisible by the number (36) 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 3427497271296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5771310905412).

3427497271296 is an abundant number, since it is smaller than the sum of its proper divisors (8115124539528).

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

3427497271296 is a wasteful number, since it uses less digits than its factorization.

3427497271296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2076 counting only the distinct ones).

The product of its digits is 64012032, while the sum is 63.

The spelling of 3427497271296 in words is "three trillion, four hundred twenty-seven billion, four hundred ninety-seven million, two hundred seventy-one thousand, two hundred ninety-six".