3120353898240 has 576 divisors, whose sum is σ = 10451671211520. Its totient is φ = 792711659520.

The previous prime is 3120353898229. The next prime is 3120353898283. The reversal of 3120353898240 is 428983530213.

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 3120353898240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1163007939 + ... + 1163010621.

It is an arithmetic number, because the mean of its divisors is an integer number (18145262520).

Almost surely, 2^{3120353898240} is an apocalyptic number.

3120353898240 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 3120353898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225835605760).

3120353898240 is an abundant number, since it is smaller than the sum of its proper divisors (7331317313280).

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

3120353898240 is a wasteful number, since it uses less digits than its factorization.

3120353898240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920 (or 2906 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 3120353898240 in words is "three trillion, one hundred twenty billion, three hundred fifty-three million, eight hundred ninety-eight thousand, two hundred forty".