36628980 has 96 divisors (see below), whose sum is σ = 108380160. Its totient is φ = 9229440.

The previous prime is 36628957. The next prime is 36628981. The reversal of 36628980 is 8982663.

It is a super-3 number, since 3×36628980³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36628981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87211 + ... + 87629.

It is an arithmetic number, because the mean of its divisors is an integer number (1128960).

Almost surely, 2^36628980 is an apocalyptic number.

36628980 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 36628980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54190080).

36628980 is an abundant number, since it is smaller than the sum of its proper divisors (71751180).

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

36628980 is a wasteful number, since it uses less digits than its factorization.

36628980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 36628980 is about 6052.1880340915. The cubic root of 36628980 is about 332.1046387157.

The spelling of 36628980 in words is "thirty-six million, six hundred twenty-eight thousand, nine hundred eighty".