3065137920 has 432 divisors, whose sum is σ = 11593257312. Its totient is φ = 743178240.

The previous prime is 3065137913. The next prime is 3065137973. The reversal of 3065137920 is 297315603.

It is a super-3 number, since 3×3065137920³ (a number of 29 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14526615 + ... + 14526825.

Almost surely, 2^3065137920 is an apocalyptic number.

3065137920 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 3065137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5796628656).

3065137920 is an abundant number, since it is smaller than the sum of its proper divisors (8528119392).

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

3065137920 is a wasteful number, since it uses less digits than its factorization.

3065137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 3065137920 is about 55363.6877384446. The cubic root of 3065137920 is about 1452.6132691620.

The spelling of 3065137920 in words is "three billion, sixty-five million, one hundred thirty-seven thousand, nine hundred twenty".