3783092040 has 864 divisors, whose sum is σ = 16402538880. Its totient is φ = 781208064.

The previous prime is 3783092029. The next prime is 3783092069. The reversal of 3783092040 is 402903873.

It is a super-2 number, since 2×3783092040² = 28623570766222723200, 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 = 3783091986 and 3783092004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 80491297 + ... + 80491343.

It is an arithmetic number, because the mean of its divisors is an integer number (18984420).

Almost surely, 2^3783092040 is an apocalyptic number.

3783092040 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 3783092040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8201269440).

3783092040 is an abundant number, since it is smaller than the sum of its proper divisors (12619446840).

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

3783092040 is a wasteful number, since it uses less digits than its factorization.

3783092040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3783092040 is about 61506.8454726789. The cubic root of 3783092040 is about 1558.1728608114.

The spelling of 3783092040 in words is "three billion, seven hundred eighty-three million, ninety-two thousand, forty".