3642944760 has 512 divisors, whose sum is σ = 15134515200. Its totient is φ = 758937600.

The previous prime is 3642944759. The next prime is 3642944777. The reversal of 3642944760 is 674492463.

It is a happy number.

It is a super-2 number, since 2×3642944760² = 26542093048822915200, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9926097 + ... + 9926463.

It is an arithmetic number, because the mean of its divisors is an integer number (29559600).

Almost surely, 2^3642944760 is an apocalyptic number.

3642944760 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 3642944760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7567257600).

3642944760 is an abundant number, since it is smaller than the sum of its proper divisors (11491570440).

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

3642944760 is a wasteful number, since it uses less digits than its factorization.

3642944760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The square root of 3642944760 is about 60356.8120430495. The cubic root of 3642944760 is about 1538.6890456957.

The spelling of 3642944760 in words is "three billion, six hundred forty-two million, nine hundred forty-four thousand, seven hundred sixty".