35974848 has 224 divisors, whose sum is σ = 122895360. Its totient is φ = 9031680.

The previous prime is 35974817. The next prime is 35974859. The reversal of 35974848 is 84847953.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (967680) is a multiple of the sum of its prime factors (135).

It is a junction number, because it is equal to n+sod(n) for n = 35974797 and 35974806.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 506653 + ... + 506723.

It is an arithmetic number, because the mean of its divisors is an integer number (548640).

Almost surely, 2^35974848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35974848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61447680).

35974848 is an abundant number, since it is smaller than the sum of its proper divisors (86920512).

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

35974848 is a wasteful number, since it uses less digits than its factorization.

35974848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 125 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 35974848 is about 5997.9036337707. The cubic root of 35974848 is about 330.1158087569.

The spelling of 35974848 in words is "thirty-five million, nine hundred seventy-four thousand, eight hundred forty-eight".