3077706240 has 320 divisors, whose sum is σ = 12495985920. Its totient is φ = 703365120.

The previous prime is 3077706211. The next prime is 3077706277. The reversal of 3077706240 is 426077703.

It is a tau number, because it is divible by the number of its divisors (320).

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 = 3077706195 and 3077706204.

It is a congruent number.

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, 480660 + ... + 487020.

It is an arithmetic number, because the mean of its divisors is an integer number (39049956).

Almost surely, 2^3077706240 is an apocalyptic number.

3077706240 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 3077706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6247992960).

3077706240 is an abundant number, since it is smaller than the sum of its proper divisors (9418279680).

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

3077706240 is an equidigital number, since it uses as much as digits as its factorization.

3077706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6400 (or 6378 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 3077706240 is about 55477.0785099576. The cubic root of 3077706240 is about 1454.5959979406.

The spelling of 3077706240 in words is "three billion, seventy-seven million, seven hundred six thousand, two hundred forty".