3835117840 has 40 divisors (see below), whose sum is σ = 8924225688. Its totient is φ = 1532743680.

The previous prime is 3835117831. The next prime is 3835117843. The reversal of 3835117840 is 487115383.

It can be written as a sum of positive squares in 4 ways, for example, as 402564096 + 3432553744 = 20064^2 + 58588^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

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 = 3835117793 and 3835117802.

It is not an unprimeable number, because it can be changed into a prime (3835117843) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77280 + ... + 116800.

Almost surely, 2^3835117840 is an apocalyptic number.

It is an amenable number.

3835117840 is an abundant number, since it is smaller than the sum of its proper divisors (5089107848).

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

3835117840 is a wasteful number, since it uses less digits than its factorization.

3835117840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40747 (or 40741 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 3835117840 is about 61928.3282512939. The cubic root of 3835117840 is about 1565.2831288288.

The spelling of 3835117840 in words is "three billion, eight hundred thirty-five million, one hundred seventeen thousand, eight hundred forty".