34301380000644 has 243 divisors, whose sum is σ = 93611131950063. Its totient is φ = 10588232641536.

The previous prime is 34301380000639. The next prime is 34301380000663. The reversal of 34301380000644 is 44600008310343.

It is a happy number.

The square root of 34301380000644 is 5856738.

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

34301380000644 is a `hidden beast` number, since 3 + 4 + 3 + 0 + 1 + 3 + 8 + 0 + 0 + 0 + 0 + 644 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17881379335044 + 16420000665600 = 4228638^2 + 4052160^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 34301380000599 and 34301380000608.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 40024947064 + ... + 40024947920.

Almost surely, 2^{34301380000644} is an apocalyptic number.

34301380000644 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34301380000644 is the 5856738-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34301380000644

34301380000644 is an abundant number, since it is smaller than the sum of its proper divisors (59309751949419).

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

34301380000644 is an equidigital number, since it uses as much as digits as its factorization.

34301380000644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

34301380000644 divided by its sum of digits (36) gives a square (952816111129 = 976123²).

Adding to 34301380000644 its reverse (44600008310343), we get a palindrome (78901388310987).

The spelling of 34301380000644 in words is "thirty-four trillion, three hundred one billion, three hundred eighty million, six hundred forty-four", and thus it is an aban number.