3438694980000 has 1440 divisors, whose sum is σ = 14298111539712. Its totient is φ = 767520000000.

The previous prime is 3438694979891. The next prime is 3438694980121. The reversal of 3438694980000 is 894968343.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13699979875 + ... + 13699980125.

Almost surely, 2^{3438694980000} is an apocalyptic number.

3438694980000 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 3438694980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7149055769856).

3438694980000 is an abundant number, since it is smaller than the sum of its proper divisors (10859416559712).

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

3438694980000 is a wasteful number, since it uses less digits than its factorization.

3438694980000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 3438694980000 in words is "three trillion, four hundred thirty-eight billion, six hundred ninety-four million, nine hundred eighty thousand".