36897840 has 120 divisors (see below), whose sum is σ = 141636768. Its totient is φ = 8432640.

The previous prime is 36897811. The next prime is 36897841. The reversal of 36897840 is 4879863.

It is a happy number.

36897840 is nontrivially palindromic in base 11.

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

It is a super-2 number, since 2×36897840² = 2722901193331200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (36897841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1380 + ... + 8700.

Almost surely, 2^36897840 is an apocalyptic number.

36897840 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 36897840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70818384).

36897840 is an abundant number, since it is smaller than the sum of its proper divisors (104738928).

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

36897840 is a wasteful number, since it uses less digits than its factorization.

36897840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7347 (or 7338 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 36897840 is about 6074.3592254657. The cubic root of 36897840 is about 332.9152179802.

The spelling of 36897840 in words is "thirty-six million, eight hundred ninety-seven thousand, eight hundred forty".