3791840640 has 512 divisors, whose sum is σ = 15040512000. Its totient is φ = 792944640.

The previous prime is 3791840629. The next prime is 3791840693. The reversal of 3791840640 is 460481973.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3791840592 and 3791840601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7915921 + ... + 7916399.

It is an arithmetic number, because the mean of its divisors is an integer number (29376000).

Almost surely, 2^3791840640 is an apocalyptic number.

3791840640 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 3791840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7520256000).

3791840640 is an abundant number, since it is smaller than the sum of its proper divisors (11248671360).

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

3791840640 is a wasteful number, since it uses less digits than its factorization.

3791840640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 3791840640 is about 61577.9233167212. The cubic root of 3791840640 is about 1559.3730551071.

The spelling of 3791840640 in words is "three billion, seven hundred ninety-one million, eight hundred forty thousand, six hundred forty".