3133697280 has 288 divisors, whose sum is σ = 11601940224. Its totient is φ = 706019328.

The previous prime is 3133697249. The next prime is 3133697309. The reversal of 3133697280 is 827963313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1961442 + ... + 1963038.

Almost surely, 2^3133697280 is an apocalyptic number.

3133697280 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 3133697280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5800970112).

3133697280 is an abundant number, since it is smaller than the sum of its proper divisors (8468242944).

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

3133697280 is a wasteful number, since it uses less digits than its factorization.

3133697280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 3133697280 is about 55979.4362243851. The cubic root of 3133697280 is about 1463.3639328299.

The spelling of 3133697280 in words is "three billion, one hundred thirty-three million, six hundred ninety-seven thousand, two hundred eighty".