36981000 has 192 divisors, whose sum is σ = 143095680. Its totient is φ = 8438400.

The previous prime is 36980971. The next prime is 36981031. The reversal of 36981000 is 18963.

It is a super-2 number, since 2×36981000² = 2735188722000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62707 + ... + 63293.

It is an arithmetic number, because the mean of its divisors is an integer number (745290).

Almost surely, 2^36981000 is an apocalyptic number.

36981000 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 36981000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71547840).

36981000 is an abundant number, since it is smaller than the sum of its proper divisors (106114680).

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

36981000 is a wasteful number, since it uses less digits than its factorization.

36981000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 36981000 is about 6081.2005393672. The cubic root of 36981000 is about 333.1651373668.

Adding to 36981000 its reverse (18963), we get a palindrome (36999963).

The spelling of 36981000 in words is "thirty-six million, nine hundred eighty-one thousand".