36838480 has 80 divisors (see below), whose sum is σ = 98743680. Its totient is φ = 12519936.

The previous prime is 36838469. The next prime is 36838493. The reversal of 36838480 is 8483863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87711 + ... + 88129.

It is an arithmetic number, because the mean of its divisors is an integer number (1234296).

Almost surely, 2^36838480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36838480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49371840).

36838480 is an abundant number, since it is smaller than the sum of its proper divisors (61905200).

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

36838480 is a wasteful number, since it uses less digits than its factorization.

36838480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 36838480 is about 6069.4711466486. The cubic root of 36838480 is about 332.7365945683.

The spelling of 36838480 in words is "thirty-six million, eight hundred thirty-eight thousand, four hundred eighty".