3133069632 has 560 divisors, whose sum is σ = 11896270848. Its totient is φ = 791700480.

The previous prime is 3133069627. The next prime is 3133069633. The reversal of 3133069632 is 2369603313.

3133069632 is a `hidden beast` number, since 3 + 13 + 3 + 0 + 6 + 9 + 632 = 666.

It is a super-2 number, since 2×3133069632² = 19632250637921230848, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3133069633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18760813 + ... + 18760979.

Almost surely, 2^3133069632 is an apocalyptic number.

3133069632 is a gapful number since it is divisible by the number (32) 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 3133069632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5948135424).

3133069632 is an abundant number, since it is smaller than the sum of its proper divisors (8763201216).

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

3133069632 is a wasteful number, since it uses less digits than its factorization.

3133069632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 36.

The square root of 3133069632 is about 55973.8298850454. The cubic root of 3133069632 is about 1463.2662272879.

The spelling of 3133069632 in words is "three billion, one hundred thirty-three million, sixty-nine thousand, six hundred thirty-two".