3133661520 has 160 divisors (see below), whose sum is σ = 10717349760. Its totient is φ = 751083520.

The previous prime is 3133661491. The next prime is 3133661537. The reversal of 3133661520 is 251663313.

It is a happy number.

3133661520 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228292 + ... + 241628.

It is an arithmetic number, because the mean of its divisors is an integer number (66983436).

Almost surely, 2^3133661520 is an apocalyptic number.

3133661520 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 3133661520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5358674880).

3133661520 is an abundant number, since it is smaller than the sum of its proper divisors (7583688240).

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

3133661520 is a wasteful number, since it uses less digits than its factorization.

3133661520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13453 (or 13447 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 3133661520 is about 55979.1168204715. The cubic root of 3133661520 is about 1463.3583664452.

The spelling of 3133661520 in words is "three billion, one hundred thirty-three million, six hundred sixty-one thousand, five hundred twenty".