3090672000 has 576 divisors, whose sum is σ = 12113487360. Its totient is φ = 754790400.

The previous prime is 3090671959. The next prime is 3090672019. The reversal of 3090672000 is 2760903.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×3090672000³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24335937 + ... + 24336063.

It is an arithmetic number, because the mean of its divisors is an integer number (21030360).

Almost surely, 2^3090672000 is an apocalyptic number.

3090672000 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 3090672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6056743680).

3090672000 is an abundant number, since it is smaller than the sum of its proper divisors (9022815360).

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

3090672000 is a wasteful number, since it uses less digits than its factorization.

3090672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 3090672000 is about 55593.8126053610. The cubic root of 3090672000 is about 1456.6357767632.

The spelling of 3090672000 in words is "three billion, ninety million, six hundred seventy-two thousand".