3120998400 has 432 divisors, whose sum is σ = 12060282780. Its totient is φ = 766771200.

The previous prime is 3120998383. The next prime is 3120998401. The reversal of 3120998400 is 48990213.

It can be written as a sum of positive squares in 6 ways, for example, as 343286784 + 2777711616 = 18528^2 + 52704^2 .

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 (3120998401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5990140 + ... + 5990660.

Almost surely, 2^3120998400 is an apocalyptic number.

3120998400 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 3120998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6030141390).

3120998400 is an abundant number, since it is smaller than the sum of its proper divisors (8939284380).

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

3120998400 is a wasteful number, since it uses less digits than its factorization.

3120998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 3120998400 is about 55865.8965738491. The cubic root of 3120998400 is about 1461.3845625862.

The spelling of 3120998400 in words is "three billion, one hundred twenty million, nine hundred ninety-eight thousand, four hundred".