36819552 has 192 divisors, whose sum is σ = 128024064. Its totient is φ = 8970240.

The previous prime is 36819529. The next prime is 36819557. The reversal of 36819552 is 25591863.

It is a self number, because there is not a number n which added to its sum of digits gives 36819552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36819557) 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, 125518 + ... + 125810.

It is an arithmetic number, because the mean of its divisors is an integer number (666792).

Almost surely, 2^36819552 is an apocalyptic number.

36819552 is a gapful number since it is divisible by the number (32) 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 36819552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64012032).

36819552 is an abundant number, since it is smaller than the sum of its proper divisors (91204512).

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

36819552 is a wasteful number, since it uses less digits than its factorization.

36819552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 333 counting only the distinct ones).

The product of its digits is 64800, while the sum is 39.

The square root of 36819552 is about 6067.9116671224. The cubic root of 36819552 is about 332.6795969466.

The spelling of 36819552 in words is "thirty-six million, eight hundred nineteen thousand, five hundred fifty-two".