3153798720 has 448 divisors, whose sum is σ = 11828678400. Its totient is φ = 789626880.

The previous prime is 3153798667. The next prime is 3153798757. The reversal of 3153798720 is 278973513.

It is a happy number.

3153798720 is a `hidden beast` number, since 3 + 1 + 537 + 98 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10272807 + ... + 10273113.

It is an arithmetic number, because the mean of its divisors is an integer number (26403300).

Almost surely, 2^3153798720 is an apocalyptic number.

3153798720 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 3153798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5914339200).

3153798720 is an abundant number, since it is smaller than the sum of its proper divisors (8674879680).

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

3153798720 is a wasteful number, since it uses less digits than its factorization.

3153798720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 3153798720 is about 56158.6922924671. The cubic root of 3153798720 is about 1466.4862349205.

The spelling of 3153798720 in words is "three billion, one hundred fifty-three million, seven hundred ninety-eight thousand, seven hundred twenty".