35949408 has 96 divisors (see below), whose sum is σ = 104872320. Its totient is φ = 10690560.

The previous prime is 35949371. The next prime is 35949409. The reversal of 35949408 is 80494953.

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

It is a self number, because there is not a number n which added to its sum of digits gives 35949408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35949409) 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, 62016 + ... + 62592.

It is an arithmetic number, because the mean of its divisors is an integer number (1092420).

Almost surely, 2^35949408 is an apocalyptic number.

35949408 is the 3462-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35949408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52436160).

35949408 is an abundant number, since it is smaller than the sum of its proper divisors (68922912).

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

35949408 is a wasteful number, since it uses less digits than its factorization.

35949408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 35949408 is about 5995.7825177369. The cubic root of 35949408 is about 330.0379754277.

The spelling of 35949408 in words is "thirty-five million, nine hundred forty-nine thousand, four hundred eight".