35540880 has 160 divisors (see below), whose sum is σ = 120849408. Its totient is φ = 8601600.

The previous prime is 35540851. The next prime is 35540881. The reversal of 35540880 is 8804553.

It is a happy number.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (35540881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126340 + ... + 126620.

Almost surely, 2^35540880 is an apocalyptic number.

35540880 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 35540880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60424704).

35540880 is an abundant number, since it is smaller than the sum of its proper divisors (85308528).

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

35540880 is a wasteful number, since it uses less digits than its factorization.

35540880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 35540880 is about 5961.6172302489. The cubic root of 35540880 is about 328.7830290611.

The spelling of 35540880 in words is "thirty-five million, five hundred forty thousand, eight hundred eighty".