3451945140000 has 960 divisors, whose sum is σ = 14672728224000. Its totient is φ = 788973696000.

The previous prime is 3451945139999. The next prime is 3451945140013. The reversal of 3451945140000 is 415491543.

It is a happy number.

3451945140000 is a `hidden beast` number, since 3 + 4 + 51 + 94 + 514 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 185210682 + ... + 185229318.

It is an arithmetic number, because the mean of its divisors is an integer number (15284091900).

Almost surely, 2^{3451945140000} is an apocalyptic number.

3451945140000 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 3451945140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7336364112000).

3451945140000 is an abundant number, since it is smaller than the sum of its proper divisors (11220783084000).

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

3451945140000 is an equidigital number, since it uses as much as digits as its factorization.

3451945140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18697 (or 18654 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 3451945140000 in words is "three trillion, four hundred fifty-one billion, nine hundred forty-five million, one hundred forty thousand".