35648412800 has 768 divisors, whose sum is σ = 122392166400. Its totient is φ = 9897984000.

The previous prime is 35648412781. The next prime is 35648412823. The reversal of 35648412800 is 821484653.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 99299021 + ... + 99299379.

It is an arithmetic number, because the mean of its divisors is an integer number (159364800).

Almost surely, 2^35648412800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35648412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61196083200).

35648412800 is an abundant number, since it is smaller than the sum of its proper divisors (86743753600).

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

35648412800 is a wasteful number, since it uses less digits than its factorization.

35648412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The spelling of 35648412800 in words is "thirty-five billion, six hundred forty-eight million, four hundred twelve thousand, eight hundred".