3078953946240 has 1024 divisors, whose sum is σ = 10994990284800. Its totient is φ = 730101841920.

The previous prime is 3078953946193. The next prime is 3078953946241. The reversal of 3078953946240 is 426493598703.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (3078953946241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4507984939 + ... + 4507985621.

It is an arithmetic number, because the mean of its divisors is an integer number (10737295200).

Almost surely, 2^{3078953946240} is an apocalyptic number.

3078953946240 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 3078953946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5497495142400).

3078953946240 is an abundant number, since it is smaller than the sum of its proper divisors (7916036338560).

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

3078953946240 is a wasteful number, since it uses less digits than its factorization.

3078953946240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 60.

The spelling of 3078953946240 in words is "three trillion, seventy-eight billion, nine hundred fifty-three million, nine hundred forty-six thousand, two hundred forty".