3121985906400 has 288 divisors, whose sum is σ = 10241422507008. Its totient is φ = 826053120000.

The previous prime is 3121985906363. The next prime is 3121985906401. The reversal of 3121985906400 is 46095891213.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3121985906400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121985906401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164296900 + ... + 164315900.

It is an arithmetic number, because the mean of its divisors is an integer number (35560494816).

Almost surely, 2^{3121985906400} is an apocalyptic number.

3121985906400 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 3121985906400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5120711253504).

3121985906400 is an abundant number, since it is smaller than the sum of its proper divisors (7119436600608).

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

3121985906400 is a wasteful number, since it uses less digits than its factorization.

3121985906400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19554 (or 19541 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The spelling of 3121985906400 in words is "three trillion, one hundred twenty-one billion, nine hundred eighty-five million, nine hundred six thousand, four hundred".