3406497191280 has 240 divisors, whose sum is σ = 12030963969024. Its totient is φ = 895604532480.

The previous prime is 3406497191249. The next prime is 3406497191297. The reversal of 3406497191280 is 821917946043.

3406497191280 is a `hidden beast` number, since 3 + 40 + 6 + 497 + 1 + 91 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3406497191280² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 146217 + ... + 2614263.

Almost surely, 2^{3406497191280} is an apocalyptic number.

3406497191280 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 3406497191280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6015481984512).

3406497191280 is an abundant number, since it is smaller than the sum of its proper divisors (8624466777744).

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

3406497191280 is a wasteful number, since it uses less digits than its factorization.

3406497191280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2468146 (or 2468128 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 3406497191280 in words is "three trillion, four hundred six billion, four hundred ninety-seven million, one hundred ninety-one thousand, two hundred eighty".