3582912240 has 120 divisors (see below), whose sum is σ = 12060500400. Its totient is φ = 953229312.

The previous prime is 3582912209. The next prime is 3582912253. The reversal of 3582912240 is 422192853.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 3582912195 and 3582912204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 317739 + ... + 328821.

It is an arithmetic number, because the mean of its divisors is an integer number (100504170).

Almost surely, 2^3582912240 is an apocalyptic number.

3582912240 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 3582912240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6030250200).

3582912240 is an abundant number, since it is smaller than the sum of its proper divisors (8477588160).

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

3582912240 is a wasteful number, since it uses less digits than its factorization.

3582912240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11551 (or 11542 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3582912240 is about 59857.4326211875. The cubic root of 3582912240 is about 1530.1901083778.

The spelling of 3582912240 in words is "three billion, five hundred eighty-two million, nine hundred twelve thousand, two hundred forty".