3125633280 has 648 divisors, whose sum is σ = 12957553728. Its totient is φ = 628531200.

The previous prime is 3125633279. The next prime is 3125633293. The reversal of 3125633280 is 823365213.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 100826865 + ... + 100826895.

Almost surely, 2^3125633280 is an apocalyptic number.

3125633280 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 3125633280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6478776864).

3125633280 is an abundant number, since it is smaller than the sum of its proper divisors (9831920448).

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

3125633280 is a wasteful number, since it uses less digits than its factorization.

3125633280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 3125633280 is about 55907.3633790756. The cubic root of 3125633280 is about 1462.1076209402.

Adding to 3125633280 its reverse (823365213), we get a palindrome (3948998493).

The spelling of 3125633280 in words is "three billion, one hundred twenty-five million, six hundred thirty-three thousand, two hundred eighty".