35879040 has 96 divisors (see below), whose sum is σ = 123914700. Its totient is φ = 9566208.

The previous prime is 35879029. The next prime is 35879047. The reversal of 35879040 is 4097853.

It can be written as a sum of positive squares in 2 ways, for example, as 35712576 + 166464 = 5976^2 + 408^2 .

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

It is a super-2 number, since 2×35879040² = 2574611022643200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 35878986 and 35879004.

It is not an unprimeable number, because it can be changed into a prime (35879047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2646 + ... + 8874.

Almost surely, 2^35879040 is an apocalyptic number.

35879040 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 35879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61957350).

35879040 is an abundant number, since it is smaller than the sum of its proper divisors (88035660).

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

35879040 is a wasteful number, since it uses less digits than its factorization.

35879040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6254 (or 6239 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 35879040 is about 5989.9115185452. The cubic root of 35879040 is about 329.8224940689.

The spelling of 35879040 in words is "thirty-five million, eight hundred seventy-nine thousand, forty".