3472816079040 has 448 divisors, whose sum is σ = 14006331509760. Its totient is φ = 708007772160.

The previous prime is 3472816079021. The next prime is 3472816079041. The reversal of 3472816079040 is 409706182743.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (3472816079041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3474546 + ... + 4360974.

Almost surely, 2^{3472816079040} is an apocalyptic number.

3472816079040 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 3472816079040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7003165754880).

3472816079040 is an abundant number, since it is smaller than the sum of its proper divisors (10533515430720).

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

3472816079040 is a wasteful number, since it uses less digits than its factorization.

3472816079040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886520 (or 886510 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 51.

The spelling of 3472816079040 in words is "three trillion, four hundred seventy-two billion, eight hundred sixteen million, seventy-nine thousand, forty".