36149344 has 96 divisors (see below), whose sum is σ = 94058496. Its totient is φ = 13240320.

The previous prime is 36149329. The next prime is 36149357. The reversal of 36149344 is 44394163.

36149344 = T₅₇ + T₅₈ + ... + T₆₀₀.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 41457 + ... + 42319.

It is an arithmetic number, because the mean of its divisors is an integer number (979776).

Almost surely, 2^36149344 is an apocalyptic number.

36149344 is a gapful number since it is divisible by the number (34) 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 36149344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47029248).

36149344 is an abundant number, since it is smaller than the sum of its proper divisors (57909152).

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

36149344 is a wasteful number, since it uses less digits than its factorization.

36149344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 900 counting only the distinct ones).

The product of its digits is 31104, while the sum is 34.

The square root of 36149344 is about 6012.4324528430. The cubic root of 36149344 is about 330.6486903455.

The spelling of 36149344 in words is "thirty-six million, one hundred forty-nine thousand, three hundred forty-four".