3582258420 has 96 divisors (see below), whose sum is σ = 10932227712. Its totient is φ = 871147008.

The previous prime is 3582258419. The next prime is 3582258497. The reversal of 3582258420 is 248522853.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 31 ways as a sum of consecutive naturals, for example, 37074 + ... + 92406.

It is an arithmetic number, because the mean of its divisors is an integer number (113877372).

Almost surely, 2^3582258420 is an apocalyptic number.

3582258420 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 3582258420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5466113856).

3582258420 is an abundant number, since it is smaller than the sum of its proper divisors (7349969292).

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

3582258420 is a wasteful number, since it uses less digits than its factorization.

3582258420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55441 (or 55439 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The square root of 3582258420 is about 59851.9708948669. The cubic root of 3582258420 is about 1530.0970249035.

The spelling of 3582258420 in words is "three billion, five hundred eighty-two million, two hundred fifty-eight thousand, four hundred twenty".