3822134040 has 160 divisors (see below), whose sum is σ = 13194236880. Its totient is φ = 991657728.

The previous prime is 3822133999. The next prime is 3822134051. The reversal of 3822134040 is 404312283.

3822134040 is a `hidden beast` number, since 38 + 221 + 3 + 404 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3822133995 and 3822134013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 103939 + ... + 135821.

Almost surely, 2^3822134040 is an apocalyptic number.

3822134040 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 3822134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6597118440).

3822134040 is an abundant number, since it is smaller than the sum of its proper divisors (9372102840).

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

3822134040 is a wasteful number, since it uses less digits than its factorization.

3822134040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31943 (or 31930 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3822134040 is about 61823.4101291736. The cubic root of 3822134040 is about 1563.5147084867.

The spelling of 3822134040 in words is "three billion, eight hundred twenty-two million, one hundred thirty-four thousand, forty".