35716010400 has 720 divisors, whose sum is σ = 151089079680. Its totient is φ = 8041420800.

The previous prime is 35716010381. The next prime is 35716010401. The reversal of 35716010400 is 401061753.

35716010400 is a `hidden beast` number, since 3 + 57 + 1 + 601 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (35716010401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 32205046 + ... + 32206154.

It is an arithmetic number, because the mean of its divisors is an integer number (209845944).

Almost surely, 2^35716010400 is an apocalyptic number.

35716010400 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 35716010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75544539840).

35716010400 is an abundant number, since it is smaller than the sum of its proper divisors (115373069280).

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

35716010400 is a wasteful number, since it uses less digits than its factorization.

35716010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 35716010400 in words is "thirty-five billion, seven hundred sixteen million, ten thousand, four hundred".