35722564800 has 672 divisors, whose sum is σ = 132918159360. Its totient is φ = 8338636800.

The previous prime is 35722564799. The next prime is 35722564807. The reversal of 35722564800 is 846522753.

It is a super-2 number, since 2×35722564800² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (35722564807) 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 95 ways as a sum of consecutive naturals, for example, 114129444 + ... + 114129756.

It is an arithmetic number, because the mean of its divisors is an integer number (197794880).

Almost surely, 2^35722564800 is an apocalyptic number.

35722564800 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 35722564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66459079680).

35722564800 is an abundant number, since it is smaller than the sum of its proper divisors (97195594560).

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

35722564800 is a wasteful number, since it uses less digits than its factorization.

35722564800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 35722564800 in words is "thirty-five billion, seven hundred twenty-two million, five hundred sixty-four thousand, eight hundred".