3249437760 has 336 divisors, whose sum is σ = 12047280960. Its totient is φ = 801239040.

The previous prime is 3249437747. The next prime is 3249437761. The reversal of 3249437760 is 677349423.

3249437760 is a `hidden beast` number, since 32 + 494 + 3 + 77 + 60 = 666.

It is a super-2 number, since 2×3249437760² = 21117691512227635200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3249437761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2352270 + ... + 2353650.

Almost surely, 2^3249437760 is an apocalyptic number.

3249437760 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 3249437760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6023640480).

3249437760 is an abundant number, since it is smaller than the sum of its proper divisors (8797843200).

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

3249437760 is a wasteful number, since it uses less digits than its factorization.

3249437760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The square root of 3249437760 is about 57003.8398706613. The cubic root of 3249437760 is about 1481.1626121602.

The spelling of 3249437760 in words is "three billion, two hundred forty-nine million, four hundred thirty-seven thousand, seven hundred sixty".