35223400800 has 1440 divisors, whose sum is σ = 159407297280. Its totient is φ = 7390310400.

The previous prime is 35223400769. The next prime is 35223400831. The reversal of 35223400800 is 800432253.

35223400800 is a `hidden beast` number, since 35 + 223 + 400 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (35223400769) and next prime (35223400831).

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 525722367 + ... + 525722433.

It is an arithmetic number, because the mean of its divisors is an integer number (110699512).

Almost surely, 2^35223400800 is an apocalyptic number.

35223400800 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 35223400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79703648640).

35223400800 is an abundant number, since it is smaller than the sum of its proper divisors (124183896480).

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

35223400800 is a wasteful number, since it uses less digits than its factorization.

35223400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 35223400800 in words is "thirty-five billion, two hundred twenty-three million, four hundred thousand, eight hundred".