3069312480 has 768 divisors, whose sum is σ = 12517908480. Its totient is φ = 696729600.

The previous prime is 3069312457. The next prime is 3069312529. The reversal of 3069312480 is 842139603.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71379339 + ... + 71379381.

It is an arithmetic number, because the mean of its divisors is an integer number (16299360).

Almost surely, 2^3069312480 is an apocalyptic number.

3069312480 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 3069312480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6258954240).

3069312480 is an abundant number, since it is smaller than the sum of its proper divisors (9448596000).

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

3069312480 is a wasteful number, since it uses less digits than its factorization.

3069312480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3069312480 is about 55401.3761561931. The cubic root of 3069312480 is about 1453.2724314930.

The spelling of 3069312480 in words is "three billion, sixty-nine million, three hundred twelve thousand, four hundred eighty".