35652480000 has 440 divisors, whose sum is σ = 122780697600. Its totient is φ = 9185280000.

The previous prime is 35652479981. The next prime is 35652480013. The reversal of 35652480000 is 8425653.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 59519701 + ... + 59520299.

It is an arithmetic number, because the mean of its divisors is an integer number (279047040).

Almost surely, 2^35652480000 is an apocalyptic number.

35652480000 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 35652480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61390348800).

35652480000 is an abundant number, since it is smaller than the sum of its proper divisors (87128217600).

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

35652480000 is an equidigital number, since it uses as much as digits as its factorization.

35652480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 35652480000 in words is "thirty-five billion, six hundred fifty-two million, four hundred eighty thousand".