3133455408 has 320 divisors, whose sum is σ = 9752709120. Its totient is φ = 961486848.

The previous prime is 3133455401. The next prime is 3133455421. The reversal of 3133455408 is 8045543313.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3133455401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32303616 + ... + 32303712.

It is an arithmetic number, because the mean of its divisors is an integer number (30477216).

Almost surely, 2^3133455408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133455408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876354560).

3133455408 is an abundant number, since it is smaller than the sum of its proper divisors (6619253712).

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

3133455408 is a wasteful number, since it uses less digits than its factorization.

3133455408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3133455408 is about 55977.2758179603. The cubic root of 3133455408 is about 1463.3262823235.

The spelling of 3133455408 in words is "three billion, one hundred thirty-three million, four hundred fifty-five thousand, four hundred eight".