3103036406400 has 2304 divisors, whose sum is σ = 13080662784000. Its totient is φ = 642415656960.

The previous prime is 3103036406399. The next prime is 3103036406401. The reversal of 3103036406400 is 46046303013.

3103036406400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3103036406399) and next prime (3103036406401).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3103036406401) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 34865577556 + ... + 34865577644.

It is an arithmetic number, because the mean of its divisors is an integer number (5677371000).

Almost surely, 2^{3103036406400} is an apocalyptic number.

3103036406400 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 3103036406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6540331392000).

3103036406400 is an abundant number, since it is smaller than the sum of its proper divisors (9977626377600).

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

3103036406400 is a wasteful number, since it uses less digits than its factorization.

3103036406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The spelling of 3103036406400 in words is "three trillion, one hundred three billion, thirty-six million, four hundred six thousand, four hundred".