35640480 has 96 divisors (see below), whose sum is σ = 115069248. Its totient is φ = 9267200.

The previous prime is 35640469. The next prime is 35640481. The reversal of 35640480 is 8404653.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (35640481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18775 + ... + 20585.

It is an arithmetic number, because the mean of its divisors is an integer number (1198638).

Almost surely, 2^35640480 is an apocalyptic number.

35640480 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 35640480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57534624).

35640480 is an abundant number, since it is smaller than the sum of its proper divisors (79428768).

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

35640480 is a wasteful number, since it uses less digits than its factorization.

35640480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1870 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 35640480 is about 5969.9648240170. The cubic root of 35640480 is about 329.0898705283.

The spelling of 35640480 in words is "thirty-five million, six hundred forty thousand, four hundred eighty".