3133476720 has 540 divisors, whose sum is σ = 12533432184. Its totient is φ = 695623680.

The previous prime is 3133476677. The next prime is 3133476739. The reversal of 3133476720 is 276743313.

3133476720 is digitally balanced in base 2, because in such base 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 84688542 + ... + 84688578.

Almost surely, 2^3133476720 is an apocalyptic number.

3133476720 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 3133476720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6266716092).

3133476720 is an abundant number, since it is smaller than the sum of its proper divisors (9399955464).

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

3133476720 is a wasteful number, since it uses less digits than its factorization.

3133476720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 3133476720 is about 55977.4661805981. The cubic root of 3133476720 is about 1463.3295998899.

The spelling of 3133476720 in words is "three billion, one hundred thirty-three million, four hundred seventy-six thousand, seven hundred twenty".