35268480 has 256 divisors, whose sum is σ = 135374400. Its totient is φ = 8626176.

The previous prime is 35268413. The next prime is 35268481. The reversal of 35268480 is 8486253.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35268481) 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, 224562 + ... + 224718.

Almost surely, 2^35268480 is an apocalyptic number.

35268480 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 35268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67687200).

35268480 is an abundant number, since it is smaller than the sum of its proper divisors (100105920).

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

35268480 is a wasteful number, since it uses less digits than its factorization.

35268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 35268480 is about 5938.7271363483. The cubic root of 35268480 is about 327.9408975405.

The spelling of 35268480 in words is "thirty-five million, two hundred sixty-eight thousand, four hundred eighty".