3217945140 has 72 divisors (see below), whose sum is σ = 9784625760. Its totient is φ = 856050624.

The previous prime is 3217945117. The next prime is 3217945151. The reversal of 3217945140 is 415497123.

3217945140 is a `hidden beast` number, since 32 + 179 + 451 + 4 + 0 = 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 = 3217945095 and 3217945104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54087 + ... + 96753.

It is an arithmetic number, because the mean of its divisors is an integer number (135897580).

Almost surely, 2^3217945140 is an apocalyptic number.

3217945140 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 3217945140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4892312880).

3217945140 is an abundant number, since it is smaller than the sum of its proper divisors (6566680620).

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

3217945140 is a wasteful number, since it uses less digits than its factorization.

3217945140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43101 (or 43096 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 3217945140 is about 56726.9348722457. The cubic root of 3217945140 is about 1476.3620688421.

The spelling of 3217945140 in words is "three billion, two hundred seventeen million, nine hundred forty-five thousand, one hundred forty".