3790487040 has 160 divisors (see below), whose sum is σ = 12285526176. Its totient is φ = 996802560.

The previous prime is 3790486993. The next prime is 3790487081. The reversal of 3790487040 is 407840973.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 3790486983 and 3790487001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 557260 + ... + 564020.

Almost surely, 2^3790487040 is an apocalyptic number.

3790487040 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 3790487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6142763088).

3790487040 is an abundant number, since it is smaller than the sum of its proper divisors (8495039136).

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

3790487040 is an equidigital number, since it uses as much as digits as its factorization.

3790487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6860 (or 6844 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 3790487040 is about 61566.9313836576. The cubic root of 3790487040 is about 1559.1874795707.

The spelling of 3790487040 in words is "three billion, seven hundred ninety million, four hundred eighty-seven thousand, forty".