3090320640 has 432 divisors, whose sum is σ = 12070228800. Its totient is φ = 748154880.

The previous prime is 3090320633. The next prime is 3090320669. The reversal of 3090320640 is 460230903.

It is a tau number, because it is divible by the number of its divisors (432).

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

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 47 ways as a sum of consecutive naturals, for example, 4181391 + ... + 4182129.

Almost surely, 2^3090320640 is an apocalyptic number.

3090320640 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 3090320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6035114400).

3090320640 is an abundant number, since it is smaller than the sum of its proper divisors (8979908160).

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

3090320640 is a wasteful number, since it uses less digits than its factorization.

3090320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3090320640 is about 55590.6524516487. The cubic root of 3090320640 is about 1456.5805759371.

The spelling of 3090320640 in words is "three billion, ninety million, three hundred twenty thousand, six hundred forty".