3422030976000 has 3696 divisors, whose sum is σ = 16351351630848. Its totient is φ = 698720256000.

The previous prime is 3422030975977. The next prime is 3422030976047. The reversal of 3422030976000 is 6790302243.

It is a happy number.

3422030976000 is a `hidden beast` number, since 3 + 42 + 2 + 0 + 3 + 0 + 9 + 7 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 110388095985 + ... + 110388096015.

Almost surely, 2^{3422030976000} is an apocalyptic number.

3422030976000 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 3422030976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8175675815424).

3422030976000 is an abundant number, since it is smaller than the sum of its proper divisors (12929320654848).

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

3422030976000 is an equidigital number, since it uses as much as digits as its factorization.

3422030976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 3422030976000 in words is "three trillion, four hundred twenty-two billion, thirty million, nine hundred seventy-six thousand".