34341592428900 has 1215 divisors, whose sum is σ = 123649444523451. Its totient is φ = 8242868240640.

The previous prime is 34341592428887. The next prime is 34341592428907. The reversal of 34341592428900 is 982429514343.

It is a happy number.

The square root of 34341592428900 is 5860170.

It is a perfect power (a square), and thus also a powerful number.

34341592428900 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 1 + 592 + 42 + 8 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10249358937444 + 24092233491456 = 3201462^2 + 4908384^2 .

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

It is not an unprimeable number, because it can be changed into a prime (34341592428907) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 230480486026 + ... + 230480486174.

Almost surely, 2^{34341592428900} is an apocalyptic number.

34341592428900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

34341592428900 is the 5860170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34341592428900

34341592428900 is an abundant number, since it is smaller than the sum of its proper divisors (89307852094551).

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

34341592428900 is a wasteful number, since it uses less digits than its factorization.

34341592428900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 34341592428900 in words is "thirty-four trillion, three hundred forty-one billion, five hundred ninety-two million, four hundred twenty-eight thousand, nine hundred".