3090903840 has 192 divisors, whose sum is σ = 10853740800. Its totient is φ = 821532672.

The previous prime is 3090903833. The next prime is 3090903857. The reversal of 3090903840 is 483090903.

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 = 3090903795 and 3090903804.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1549884 + ... + 1551876.

It is an arithmetic number, because the mean of its divisors is an integer number (56529900).

Almost surely, 2^3090903840 is an apocalyptic number.

3090903840 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 3090903840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5426870400).

3090903840 is an abundant number, since it is smaller than the sum of its proper divisors (7762836960).

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

3090903840 is a wasteful number, since it uses less digits than its factorization.

3090903840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3090903840 is about 55595.8976903872. The cubic root of 3090903840 is about 1456.6721979681.

The spelling of 3090903840 in words is "three billion, ninety million, nine hundred three thousand, eight hundred forty".