36249948 has 144 divisors (see below), whose sum is σ = 112869120. Its totient is φ = 9580032.

The previous prime is 36249947. The next prime is 36249953. The reversal of 36249948 is 84994263.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (373248) is a multiple of the sum of its prime factors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36249947) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320740 + ... + 320852.

Almost surely, 2^36249948 is an apocalyptic number.

36249948 is a gapful number since it is divisible by the number (38) 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 36249948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56434560).

36249948 is an abundant number, since it is smaller than the sum of its proper divisors (76619172).

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

36249948 is a wasteful number, since it uses less digits than its factorization.

36249948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 211 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 36249948 is about 6020.7929710296. The cubic root of 36249948 is about 330.9551391513.

The spelling of 36249948 in words is "thirty-six million, two hundred forty-nine thousand, nine hundred forty-eight".