3267134640 has 480 divisors, whose sum is σ = 14128238592. Its totient is φ = 656640000.

The previous prime is 3267134593. The next prime is 3267134677. The reversal of 3267134640 is 464317623.

It is a happy number.

3267134640 is a `hidden beast` number, since 3 + 2 + 6 + 7 + 1 + 3 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3267134595 and 3267134604.

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 95 ways as a sum of consecutive naturals, for example, 1717690 + ... + 1719590.

Almost surely, 2^3267134640 is an apocalyptic number.

3267134640 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 3267134640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7064119296).

3267134640 is an abundant number, since it is smaller than the sum of its proper divisors (10861103952).

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

3267134640 is a wasteful number, since it uses less digits than its factorization.

3267134640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3267134640 is about 57158.8544321875. The cubic root of 3267134640 is about 1483.8466165701.

The spelling of 3267134640 in words is "three billion, two hundred sixty-seven million, one hundred thirty-four thousand, six hundred forty".