35855040 has 224 divisors, whose sum is σ = 130576320. Its totient is φ = 8306688.

The previous prime is 35855011. The next prime is 35855041. The reversal of 35855040 is 4055853.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 35854989 and 35855007.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 442 × 390 × 208.

It is not an unprimeable number, because it can be changed into a prime (35855041) 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, 2109112 + ... + 2109128.

It is an arithmetic number, because the mean of its divisors is an integer number (582930).

Almost surely, 2^35855040 is an apocalyptic number.

35855040 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 35855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65288160).

35855040 is an abundant number, since it is smaller than the sum of its proper divisors (94721280).

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

35855040 is a wasteful number, since it uses less digits than its factorization.

35855040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 35855040 is about 5987.9078149217. The cubic root of 35855040 is about 329.7489366800.

The spelling of 35855040 in words is "thirty-five million, eight hundred fifty-five thousand, forty".