3247953840 has 120 divisors (see below), whose sum is σ = 10932687168. Its totient is φ = 864138240.

The previous prime is 3247953829. The next prime is 3247953857. The reversal of 3247953840 is 483597423.

3247953840 is a `hidden beast` number, since 3 + 2 + 4 + 79 + 538 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 324105 + ... + 333975.

Almost surely, 2^3247953840 is an apocalyptic number.

3247953840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3247953840 is the 32904-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3247953840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5466343584).

3247953840 is an abundant number, since it is smaller than the sum of its proper divisors (7684733328).

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

3247953840 is a wasteful number, since it uses less digits than its factorization.

3247953840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10347 (or 10338 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3247953840 is about 56990.8224190527. The cubic root of 3247953840 is about 1480.9371104328.

The spelling of 3247953840 in words is "three billion, two hundred forty-seven million, nine hundred fifty-three thousand, eight hundred forty".