35128704000 has 704 divisors, whose sum is σ = 130471391232. Its totient is φ = 8331264000.

The previous prime is 35128703993. The next prime is 35128704041. The reversal of 35128704000 is 40782153.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154751887 + ... + 154752113.

Almost surely, 2^35128704000 is an apocalyptic number.

35128704000 is a gapful number since it is divisible by the number (30) 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 35128704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65235695616).

35128704000 is an abundant number, since it is smaller than the sum of its proper divisors (95342687232).

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

35128704000 is a wasteful number, since it uses less digits than its factorization.

35128704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 35128704000 in words is "thirty-five billion, one hundred twenty-eight million, seven hundred four thousand".