345401012000 has 192 divisors, whose sum is σ = 934978681728. Its totient is φ = 124355200000.

The previous prime is 345401011973. The next prime is 345401012023. The reversal of 345401012000 is 210104543.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4405139 + ... + 4482861.

It is an arithmetic number, because the mean of its divisors is an integer number (4869680634).

Almost surely, 2^345401012000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345401012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467489340864).

345401012000 is an abundant number, since it is smaller than the sum of its proper divisors (589577669728).

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

345401012000 is a wasteful number, since it uses less digits than its factorization.

345401012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77860 (or 77842 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 345401012000 its reverse (210104543), we get a palindrome (345611116543).

The spelling of 345401012000 in words is "three hundred forty-five billion, four hundred one million, twelve thousand".