3248690976 has 120 divisors (see below), whose sum is σ = 9582415920. Its totient is φ = 1079713152.

The previous prime is 3248690947. The next prime is 3248690993. The reversal of 3248690976 is 6790968423.

It is a happy number.

3248690976 is a `hidden beast` number, since 3 + 2 + 486 + 90 + 9 + 76 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 980715 + ... + 984021.

It is an arithmetic number, because the mean of its divisors is an integer number (79853466).

Almost surely, 2^3248690976 is an apocalyptic number.

3248690976 is a gapful number since it is divisible by the number (36) 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 3248690976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4791207960).

3248690976 is an abundant number, since it is smaller than the sum of its proper divisors (6333724944).

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

3248690976 is a wasteful number, since it uses less digits than its factorization.

3248690976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3708 (or 3691 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 3248690976 is about 56997.2891986979. The cubic root of 3248690976 is about 1481.0491368076.

The spelling of 3248690976 in words is "three billion, two hundred forty-eight million, six hundred ninety thousand, nine hundred seventy-six".