35321887852672 has 256 divisors, whose sum is σ = 77580840960000. Its totient is φ = 15944275353600.

The previous prime is 35321887852663. The next prime is 35321887852681. The reversal of 35321887852672 is 27625878812353.

It is an interprime number because it is at equal distance from previous prime (35321887852663) and next prime (35321887852681).

It is a super-2 number, since 2×35321887852672² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 35321887852598 and 35321887852607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30687999297 + ... + 30688000447.

It is an arithmetic number, because the mean of its divisors is an integer number (303050160000).

Almost surely, 2^{35321887852672} is an apocalyptic number.

35321887852672 is a gapful number since it is divisible by the number (32) 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 35321887852672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38790420480000).

35321887852672 is an abundant number, since it is smaller than the sum of its proper divisors (42258953107328).

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

35321887852672 is a wasteful number, since it uses less digits than its factorization.

35321887852672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2779 (or 2767 counting only the distinct ones).

The product of its digits is 270950400, while the sum is 67.

The spelling of 35321887852672 in words is "thirty-five trillion, three hundred twenty-one billion, eight hundred eighty-seven million, eight hundred fifty-two thousand, six hundred seventy-two".