3372078842880 has 352 divisors, whose sum is σ = 11786605038720. Its totient is φ = 816033300480.

The previous prime is 3372078842849. The next prime is 3372078842897. The reversal of 3372078842880 is 882488702733.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×3372078842880² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 31 ways as a sum of consecutive naturals, for example, 97472626 + ... + 97507214.

Almost surely, 2^{3372078842880} is an apocalyptic number.

3372078842880 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 3372078842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5893302519360).

3372078842880 is an abundant number, since it is smaller than the sum of its proper divisors (8414526195840).

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

3372078842880 is a wasteful number, since it uses less digits than its factorization.

3372078842880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35205 (or 35187 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 60.

The spelling of 3372078842880 in words is "three trillion, three hundred seventy-two billion, seventy-eight million, eight hundred forty-two thousand, eight hundred eighty".