3123104486400 has 792 divisors, whose sum is σ = 11375474423040. Its totient is φ = 818569543680.

The previous prime is 3123104486371. The next prime is 3123104486407. The reversal of 3123104486400 is 46844013213.

3123104486400 is a `hidden beast` number, since 3 + 1 + 2 + 3 + 1 + 0 + 4 + 4 + 8 + 640 + 0 = 666.

It is a super-3 number, since 3×3123104486400³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3123104486407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3618892369 + ... + 3618893231.

Almost surely, 2^{3123104486400} is an apocalyptic number.

3123104486400 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 3123104486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5687737211520).

3123104486400 is an abundant number, since it is smaller than the sum of its proper divisors (8252369936640).

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

3123104486400 is a wasteful number, since it uses less digits than its factorization.

3123104486400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 3123104486400 its reverse (46844013213), we get a palindrome (3169948499613).

The spelling of 3123104486400 in words is "three trillion, one hundred twenty-three billion, one hundred four million, four hundred eighty-six thousand, four hundred".