35225280 has 196 divisors, whose sum is σ = 126595632. Its totient is φ = 9331200.

The previous prime is 35225263. The next prime is 35225287. The reversal of 35225280 is 8252253.

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

It is not an unprimeable number, because it can be changed into a prime (35225287) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 233205 + ... + 233355.

Almost surely, 2^35225280 is an apocalyptic number.

35225280 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 35225280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63297816).

35225280 is an abundant number, since it is smaller than the sum of its proper divisors (91370352).

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

35225280 is an equidigital number, since it uses as much as digits as its factorization.

35225280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 35225280 is about 5935.0888788627. The cubic root of 35225280 is about 327.8069456844.

The spelling of 35225280 in words is "thirty-five million, two hundred twenty-five thousand, two hundred eighty".