3069002401920 has 2304 divisors, whose sum is σ = 14207287610880. Its totient is φ = 603584593920.

The previous prime is 3069002401909. The next prime is 3069002401963. The reversal of 3069002401920 is 291042009603.

3069002401920 is a `hidden beast` number, since 306 + 90 + 0 + 240 + 1 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3459979717 + ... + 3459980603.

It is an arithmetic number, because the mean of its divisors is an integer number (6166357470).

Almost surely, 2^{3069002401920} is an apocalyptic number.

3069002401920 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 3069002401920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7103643805440).

3069002401920 is an abundant number, since it is smaller than the sum of its proper divisors (11138285208960).

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

3069002401920 is a wasteful number, since it uses less digits than its factorization.

3069002401920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 981 counting only the distinct ones).

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

The spelling of 3069002401920 in words is "three trillion, sixty-nine billion, two million, four hundred one thousand, nine hundred twenty".