3249396720 has 240 divisors, whose sum is σ = 11561715360. Its totient is φ = 815560704.

The previous prime is 3249396713. The next prime is 3249396751. The reversal of 3249396720 is 276939423.

3249396720 is a `hidden beast` number, since 3 + 2 + 493 + 96 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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, 2365954 + ... + 2367326.

It is an arithmetic number, because the mean of its divisors is an integer number (48173814).

Almost surely, 2^3249396720 is an apocalyptic number.

3249396720 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 3249396720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5780857680).

3249396720 is an abundant number, since it is smaller than the sum of its proper divisors (8312318640).

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

3249396720 is a wasteful number, since it uses less digits than its factorization.

3249396720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1575 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3249396720 is about 57003.4798937749. The cubic root of 3249396720 is about 1481.1563764999.

The spelling of 3249396720 in words is "three billion, two hundred forty-nine million, three hundred ninety-six thousand, seven hundred twenty".