3587420160 has 156 divisors (see below), whose sum is σ = 12435510672. Its totient is φ = 956596224.

The previous prime is 3587420159. The next prime is 3587420167. The reversal of 3587420160 is 610247853.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3587420167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174589 + ... + 194051.

It is an arithmetic number, because the mean of its divisors is an integer number (79714812).

Almost surely, 2^3587420160 is an apocalyptic number.

3587420160 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 3587420160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6217755336).

3587420160 is an abundant number, since it is smaller than the sum of its proper divisors (8848090512).

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

3587420160 is a wasteful number, since it uses less digits than its factorization.

3587420160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19498 (or 19473 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 3587420160 is about 59895.0762584037. The cubic root of 3587420160 is about 1530.8315868927.

The spelling of 3587420160 in words is "three billion, five hundred eighty-seven million, four hundred twenty thousand, one hundred sixty".