35957040 has 160 divisors (see below), whose sum is σ = 134991360. Its totient is φ = 7729152.

The previous prime is 35957039. The next prime is 35957069. The reversal of 35957040 is 4075953.

It is a junction number, because it is equal to n+sod(n) for n = 35956992 and 35957010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27931 + ... + 29189.

It is an arithmetic number, because the mean of its divisors is an integer number (843696).

Almost surely, 2^35957040 is an apocalyptic number.

35957040 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 35957040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67495680).

35957040 is an abundant number, since it is smaller than the sum of its proper divisors (99034320).

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

35957040 is a wasteful number, since it uses less digits than its factorization.

35957040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1293 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 35957040 is about 5996.4189313289. The cubic root of 35957040 is about 330.0613292810.

The spelling of 35957040 in words is "thirty-five million, nine hundred fifty-seven thousand, forty".