3077678039040 has 1280 divisors, whose sum is σ = 12321175680000. Its totient is φ = 722510807040.

The previous prime is 3077678039003. The next prime is 3077678039071. The reversal of 3077678039040 is 409308767703.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×3077678039040² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 45935493087 + ... + 45935493153.

It is an arithmetic number, because the mean of its divisors is an integer number (9625918500).

Almost surely, 2^{3077678039040} is an apocalyptic number.

3077678039040 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 3077678039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6160587840000).

3077678039040 is an abundant number, since it is smaller than the sum of its proper divisors (9243497640960).

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

3077678039040 is an frugal number, since it uses more digits than its factorization.

3077678039040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 3077678039040 in words is "three trillion, seventy-seven billion, six hundred seventy-eight million, thirty-nine thousand, forty".