35378608832064 has 567 divisors, whose sum is σ = 107682370024593. Its totient is φ = 11532062057472.

The previous prime is 35378608832041. The next prime is 35378608832087. The reversal of 35378608832064 is 46023880687353.

The square root of 35378608832064 is 5947992.

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

35378608832064 is a `hidden beast` number, since 3 + 53 + 78 + 60 + 88 + 320 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (35378608832041) and next prime (35378608832087).

It can be written as a sum of positive squares in only one way, i.e., 20781563342400 + 14597045489664 = 4558680^2 + 3820608^2 .

It is a junction number, because it is equal to n+sod(n) for n = 35378608831992 and 35378608832010.

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, 258238020604 + ... + 258238020740.

Almost surely, 2^{35378608832064} is an apocalyptic number.

35378608832064 is the 5947992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35378608832064

35378608832064 is an abundant number, since it is smaller than the sum of its proper divisors (72303761192529).

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

35378608832064 is an frugal number, since it uses more digits than its factorization.

35378608832064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 35378608832064 in words is "thirty-five trillion, three hundred seventy-eight billion, six hundred eight million, eight hundred thirty-two thousand, sixty-four".