35875840 has 264 divisors, whose sum is σ = 117612432. Its totient is φ = 10321920.

The previous prime is 35875789. The next prime is 35875877. The reversal of 35875840 is 4857853.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 35875793 and 35875802.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2759674 + ... + 2759686.

Almost surely, 2^35875840 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 35875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58806216).

35875840 is an abundant number, since it is smaller than the sum of its proper divisors (81736592).

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

35875840 is a wasteful number, since it uses less digits than its factorization.

35875840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 40.

The square root of 35875840 is about 5989.6443967902. The cubic root of 35875840 is about 329.8126883127.

The spelling of 35875840 in words is "thirty-five million, eight hundred seventy-five thousand, eight hundred forty".