3251888640 has 1280 divisors, whose sum is σ = 15838986240. Its totient is φ = 610467840.

The previous prime is 3251888579. The next prime is 3251888657. The reversal of 3251888640 is 468881523.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×3251888640² = 21149559453922099200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 69189097 + ... + 69189143.

It is an arithmetic number, because the mean of its divisors is an integer number (12374208).

Almost surely, 2^3251888640 is an apocalyptic number.

3251888640 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 3251888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7919493120).

3251888640 is an abundant number, since it is smaller than the sum of its proper divisors (12587097600).

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

3251888640 is a wasteful number, since it uses less digits than its factorization.

3251888640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 3251888640 is about 57025.3333177457. Note that the first 4 decimals coincide. The cubic root of 3251888640 is about 1481.5349062610.

The spelling of 3251888640 in words is "three billion, two hundred fifty-one million, eight hundred eighty-eight thousand, six hundred forty".