3457770002064 has 675 divisors, whose sum is σ = 11970925431993. Its totient is φ = 960755717376.

The previous prime is 3457770002051. The next prime is 3457770002077. The reversal of 3457770002064 is 4602000777543.

The square root of 3457770002064 is 1859508.

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

3457770002064 is a `hidden beast` number, since 3 + 4 + 577 + 70 + 0 + 0 + 2 + 0 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (3457770002051) and next prime (3457770002077).

It can be written as a sum of positive squares in only one way, i.e., 1013525427600 + 2444244574464 = 1006740^2 + 1563408^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 22024012674 + ... + 22024012830.

Almost surely, 2^{3457770002064} is an apocalyptic number.

3457770002064 is the 1859508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3457770002064

3457770002064 is an abundant number, since it is smaller than the sum of its proper divisors (8513155429929).

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

3457770002064 is an equidigital number, since it uses as much as digits as its factorization.

3457770002064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 3457770002064 in words is "three trillion, four hundred fifty-seven billion, seven hundred seventy million, two thousand, sixty-four".