3212017079040 has 4320 divisors, whose sum is σ = 16205097033216. Its totient is φ = 600859607040.

The previous prime is 3212017079021. The next prime is 3212017079069. The reversal of 3212017079040 is 409707102123.

3212017079040 is a `hidden beast` number, since 321 + 201 + 7 + 0 + 7 + 90 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3212017078986 and 3212017079004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 139652916469 + ... + 139652916491.

Almost surely, 2^{3212017079040} is an apocalyptic number.

3212017079040 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 3212017079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8102548516608).

3212017079040 is an abundant number, since it is smaller than the sum of its proper divisors (12993079954176).

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

3212017079040 is an equidigital number, since it uses as much as digits as its factorization.

3212017079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 3212017079040 in words is "three trillion, two hundred twelve billion, seventeen million, seventy-nine thousand, forty".