3907009890 has 288 divisors, whose sum is σ = 12379820544. Its totient is φ = 869201280.

The previous prime is 3907009889. The next prime is 3907009903. The reversal of 3907009890 is 989007093.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21585600 + ... + 21585780.

It is an arithmetic number, because the mean of its divisors is an integer number (42985488).

Almost surely, 2^3907009890 is an apocalyptic number.

3907009890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3907009890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6189910272).

3907009890 is an abundant number, since it is smaller than the sum of its proper divisors (8472810654).

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

3907009890 is an equidigital number, since it uses as much as digits as its factorization.

3907009890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 3907009890 is about 62506.0788243832. The cubic root of 3907009890 is about 1575.0034285640.

The spelling of 3907009890 in words is "three billion, nine hundred seven million, nine thousand, eight hundred ninety".