3214794240 has 480 divisors, whose sum is σ = 13155158016. Its totient is φ = 710000640.

The previous prime is 3214794227. The next prime is 3214794257. The reversal of 3214794240 is 424974123.

3214794240 is a `hidden beast` number, since 321 + 4 + 7 + 94 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 3214794195 and 3214794204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4999359 + ... + 5000001.

Almost surely, 2^3214794240 is an apocalyptic number.

3214794240 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 3214794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6577579008).

3214794240 is an abundant number, since it is smaller than the sum of its proper divisors (9940363776).

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

3214794240 is a wasteful number, since it uses less digits than its factorization.

3214794240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 3214794240 is about 56699.1555492672. The cubic root of 3214794240 is about 1475.8800440112.

The spelling of 3214794240 in words is "three billion, two hundred fourteen million, seven hundred ninety-four thousand, two hundred forty".