3078836801040 has 1920 divisors, whose sum is σ = 14394998661120. Its totient is φ = 526409072640.

The previous prime is 3078836801011. The next prime is 3078836801069. The reversal of 3078836801040 is 401086388703.

3078836801040 = T₁₀₁ + T₁₀₂ + ... + T₂₆₄₃₄.

It is an interprime number because it is at equal distance from previous prime (3078836801011) and next prime (3078836801069).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 853570917 + ... + 853574523.

It is an arithmetic number, because the mean of its divisors is an integer number (7497395136).

Almost surely, 2^{3078836801040} is an apocalyptic number.

3078836801040 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 3078836801040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197499330560).

3078836801040 is an abundant number, since it is smaller than the sum of its proper divisors (11316161860080).

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

3078836801040 is a wasteful number, since it uses less digits than its factorization.

3078836801040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701 (or 3684 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 3078836801040 in words is "three trillion, seventy-eight billion, eight hundred thirty-six million, eight hundred one thousand, forty".