3494931948000 has 288 divisors, whose sum is σ = 12862906449120. Its totient is φ = 931981593600.

The previous prime is 3494931947999. The next prime is 3494931948023. The reversal of 3494931948000 is 8491394943.

3494931948000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 825805 + ... + 2769804.

It is an arithmetic number, because the mean of its divisors is an integer number (44662869615).

Almost surely, 2^{3494931948000} is an apocalyptic number.

3494931948000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3494931948000 is an abundant number, since it is smaller than the sum of its proper divisors (9367974501120).

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

3494931948000 is an equidigital number, since it uses as much as digits as its factorization.

3494931948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3595649 (or 3595619 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 3494931948000 in words is "three trillion, four hundred ninety-four billion, nine hundred thirty-one million, nine hundred forty-eight thousand".