3842634240 has 120 divisors (see below), whose sum is σ = 13308202908. Its totient is φ = 1024696320.

The previous prime is 3842634221. The next prime is 3842634251. The reversal of 3842634240 is 424362483.

3842634240 is a `hidden beast` number, since 384 + 2 + 6 + 34 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3525509376 + 317124864 = 59376^2 + 17808^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 3842634195 and 3842634204.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60351 + ... + 106430.

Almost surely, 2^3842634240 is an apocalyptic number.

3842634240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3842634240 is an abundant number, since it is smaller than the sum of its proper divisors (9465568668).

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

3842634240 is a wasteful number, since it uses less digits than its factorization.

3842634240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166810 (or 166791 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 3842634240 is about 61988.9848279515. The cubic root of 3842634240 is about 1566.3050545114.

The spelling of 3842634240 in words is "three billion, eight hundred forty-two million, six hundred thirty-four thousand, two hundred forty".