34345721341800 has 384 divisors, whose sum is σ = 131244064128000. Its totient is φ = 8185112006400.

The previous prime is 34345721341793. The next prime is 34345721341801. The reversal of 34345721341800 is 814312754343.

It is a happy number.

34345721341800 is a `hidden beast` number, since 3 + 4 + 3 + 457 + 2 + 13 + 4 + 180 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (34345721341801) 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, 1395492 + ... + 8404691.

It is an arithmetic number, because the mean of its divisors is an integer number (341781417000).

Almost surely, 2^{34345721341800} is an apocalyptic number.

34345721341800 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 34345721341800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65622032064000).

34345721341800 is an abundant number, since it is smaller than the sum of its proper divisors (96898342786200).

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

34345721341800 is a wasteful number, since it uses less digits than its factorization.

34345721341800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9800278 (or 9800263 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 34345721341800 in words is "thirty-four trillion, three hundred forty-five billion, seven hundred twenty-one million, three hundred forty-one thousand, eight hundred".