3442078993920 has 960 divisors, whose sum is σ = 13108253089536. Its totient is φ = 768074711040.

The previous prime is 3442078993919. The next prime is 3442078993921. The reversal of 3442078993920 is 293998702443.

It is an interprime number because it is at equal distance from previous prime (3442078993919) and next prime (3442078993921).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3442078993921) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2939434935 + ... + 2939436105.

Almost surely, 2^{3442078993920} is an apocalyptic number.

3442078993920 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 3442078993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6554126544768).

3442078993920 is an abundant number, since it is smaller than the sum of its proper divisors (9666174095616).

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

3442078993920 is a wasteful number, since it uses less digits than its factorization.

3442078993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 60.

The spelling of 3442078993920 in words is "three trillion, four hundred forty-two billion, seventy-eight million, nine hundred ninety-three thousand, nine hundred twenty".