3291249240 has 256 divisors, whose sum is σ = 11332569600. Its totient is φ = 849139200.

The previous prime is 3291249191. The next prime is 3291249277. The reversal of 3291249240 is 429421923.

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 = 3291249195 and 3291249204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6083370 + ... + 6083910.

It is an arithmetic number, because the mean of its divisors is an integer number (44267850).

Almost surely, 2^3291249240 is an apocalyptic number.

3291249240 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 3291249240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5666284800).

3291249240 is an abundant number, since it is smaller than the sum of its proper divisors (8041320360).

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

3291249240 is a wasteful number, since it uses less digits than its factorization.

3291249240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3291249240 is about 57369.4103159515. The cubic root of 3291249240 is about 1487.4884102385.

The spelling of 3291249240 in words is "three billion, two hundred ninety-one million, two hundred forty-nine thousand, two hundred forty".